T  A 


IRLF 


STADIA  FABLES 


ALFRED  NOBLE 


WM.  T.  CASGRAIN 


LIBRARY 

OF    THE 

UNIVERSITY  OF  CALIFORNIA. 
Cla&s 


TABLES 


FOR  OBTAINING 


HORIZONTAL    DISTANCES 


AND 


DIFFERENCE  OF  LEVEL, 


FROM 


STADIA    READINGS. 


COMPUTED    BY 

ALFRED  NOBLE  AND  WM.  T.  CASGRAIN, 

U.  S.  Engineer    Office,    Milwaukee,  Wis. 


NEW    YORK: 

THE   ENGINEERING   NEWS   PUBLISHING   CO., 
1902. 


1VH3&G9 


Entered  according  to  Act  of  Congress  in  the  year  1870  by 

ALFRED  NOBLE, 

In  the  Clerk's  Office  of  the  District  Court  of  the  Eastern  District  of 
Michigan. 

Copyright,   1902,  by 
THE    ENGINEERING    NEWS    PUBLISHING    COMPANY. 


INTRODUCTION. 

The  transit  for  use  in  stadia  work  has  horizontal  and 
vertical  arcs,  and  should  have  a  telescope  of  good  power 
and  clear  definition.  The  diaphragm  has  two  additional 
horizontal  wires  called  stadia  wires,  which  are  usually 
fixed  in  place  by  the  instrument  maker.  In  some  transits 
one  of  the  wires  is  placed  on  a  movable  slide,  making  the 
interval  between  wires  adjustable,  but  this  is  not  recom- 
mended, because  the  movable  wire  is  liable  to  get  out  of 
adjustment  without  being  detected.  In  the  use  of  the 
stadia  the  intercept  by  these  wires  on  a  graduated  rod, 
called  the  stadia,  held  vertically  on  the  point  to  be  located 
is  read  as  well  as  the  horizontal  and  vertical  circles. 

The  instrument  maker  seeks  to  place  the  stadia  wires 
equally  distant  from  the  middle  wire,  and  at  such  a  dis- 
tance from  each  other  as  to  intercept  10  ft.  on  a  rod  held 
vertically  on  a  horizontal  base,  1,000  ft.  from  the  instru- 
'ment.  It  is  impracticable  to  set  the  wires  at  the  precise 
distances  intended,  and  an  error  of  I  to  5  in  1,000  is  to  be 
expected.  In  order  to  simplify  the  reduction  of  the  field 
notes  it  is  desirable  to  eliminate  this  error,  which  can  only 
be  accomplished  by  having  the  stadia  graduated  to  suit 
the  transit. 

The  intercept  on  the  rod  when  held  at  varying  distances 
is  not  precisely  proportionate  to  the  distance  from  the 
transit,  but  to  the  distance  from  a  point  in  front  of  the 
object  glass  of  the  telescope.  The  distance  of  this  point 
from  the  object  glass  is  equal  to  the  principal  focal  dis- 
tance of  the  object  glass.  Designating  this  by  f,  and  the 
distance  from  the  object  glass  to  the  vertical  axis  or 
center  of  the  instrument  by  c,  the  point  from  which  read- 
ings and  distances  are  directly  proportionate  to  each  other 
is  distant  (c  +  f)  from  the  center  of  the  transit.  It  follows 
that  if  the  stadia  be  graduated  uniformly,  the  reading  can 
give  the  correct  distance  for  only  a  single  distance;  for  all 
other  distances  the  reading  will  be  too  great  or  too  small. 
For  these  tables  the  stadia  is  assumed  to  be  so  graduated 
that  the  reading  gives  the  distance  without  correction  at 

117211 


4  INTRODUCTION. 

a  horizontal  distance  of  1,000  ft.  from  the  transit,  or  [1,000 
—  (c  +  f)]  feet  from  the  point  from  which  readings  and 


distances  are  proportional.     If  distances  of [1,000  — 

10 

(c  +  f  )]  feet  be  laid  off  successively  from  this  point  the 

i        2          3 

readings  will  be  ,  ,  ,  etc.,  of  the  readings  at 

10      10        10 
1,000  ft. 

In  the  calculation  of  these  tables  (c  +  f)  was  taken  equal 
to  1.4  feet.  The  distance  to  be  subdivided  is  [1,000  — 

i 

(c  +  f)]  =  998.6  feet,  and of  this  =  99.86  feet.     The 

10 

additional  intercept  on  the  stadia  rod  on  a  horizontal  base 
corresponding  to  an  increase  of  99.86  ft.  may  for  con- 
venience be  called  the  "stadia  unit."  Its  value  must  be 
determined  before  the  stadia  can  be  graduated.  For  this 
purpose  proceed  as  follows: 

Select  a  level  piece  of  ground  where  a  line  1,000  ft.  long 
can  be  laid  down.  Set  the  transit  at  one  end  of  this  line 
and  establish  the  following  stations: 

Station.  Distance  from  instrument  center. 

Bi 1.4+        99.86    =  ioi.26feet. 

Ea 1.4+  2(99.86)=  201.12 

Bs 1.4+  3(99-86)=  300.98 

B* 1.4+  4(99.86)=  400.84 

Bs 1.4+  5(99.86)  =  500.70 

B« 1.4+  6(99.86)=  600.56 

BT 1.4+    7(99.86)=      700.42 

Bs 1.4+    8(99.86)=      800.28 

B» 1.4+   9(99.86)=     9075.14 

Bio 1.4  +  10  (99.86)  =  1,000.00 

If  a  rod  be  held  successively  on  these  points  and  the 
corresponding  intercepts  by  the  stadia  wires  be  designated 
Ii,  Is,  Is,  etc.,  the  following  relation  should  be  found: 

I*  Is  I* 

Ii  = = = etc.,  =  stadia  unit. 

234 
For  measuring  the  intercepts,  use  a  leveling  rod,  read- 

i 

ing  by  a  vernier  to ft.,  furnished  with  two  targets. 

1,000 


INTRODUCTION. 


The  intercept  should  be  measured  with  the  telescope  hozi- 
zontal,  but  one  target  can  be  placed  at  the  nearest  even 
foot,  one  stadia  wire  fixed  on  it  and  the 
other  target  moved  to  correspond  with 
the  other  wire  without  appreciable  error. 
Several  readings  should  be  made  at  each 
station  and  the  mean  taken.  The  resulting 
values  of  the  stadia  unit  should  agree 
within  o.ooi  or  0.002  ft.  Finally,  the  mean 
of  all  should  be  taken  for  use  in  marking 
the  stadia. 

The  stadia  board  should  be  of  well-sea- 
soned pine,  about  i2l/2  ft.  long,  4%  inches 
wide,  5/2  to  ^4-inch  thick,  with  a  stiffening 
rib  down  the  center  of  the  back.  The  ends 
should  be  shod  with  light  strips  of  iron. 
It  should  be  given  three  or  four  coats  of 
white  paint.  The  marking  should  be  simple 
and  easily  distinguishable  at  considerable 
distances.  Many  forms  have  been  used. 
The  one  shown  opposite,  which  includes 
two  stadia  units,  is  as  simple  and  satisfac- 
tory as  any.  Each  side  of  a  diamond  cor- 
responds to  a  reading  of  10  or  an  approxi- 
mate distance  of  10  ft.  The  intermediate 
feet  are  estimated. 

Beginning  at  a  point  about  three  inches 
from  the  bottom  of  the  board,  the  stadia 
unit  is  laid  off  successively  and  subdivided 
as  per  sketch.  The  markings  should  be 
accurate;  the  outlines  can  be  made  with 
a  right  line  pen  more  precisely  than  with  a 
brush.  The  ready-mixed  ivory  black  sold 
in  cans  is  satisfactory  for  the  markings,  and  flows  freely 
from  a  right  line  pen.  The  markings  should  begin  with 
two  triangles  joined  at  apices,  as  at  "A"  in  the  figure,  and 
the  one  about  5  ft.  from  the  bottom  should  be  painted  red 
for  easy  identification.  Sometimes  the  loth  foot  is  also 
painted  red. 

In  taking  a  reading  the  stadia  is  held  vertical;  the  lower 
wire  is  usually  fixed  on  an  even  unit  mark  with  the  center 
wire  less  than  a  unit  distance  from  the  5th  unit  which  is 
marked  red,  and  the  stadia  reading  recorded,  The  center 


6  INTRODUCTION. 

wire  is  then  fixed  on  the  red  mark  and  the  horizontal  and 
vertical  limbs  read.  Levels  are  carried  through  the  H.  I. 
as  in  ordinary  leveling.  The  H.  I.  can  be  determined 
from  a  back  sight,  or  the  instrument  can  be  set  over  a 
point  whose  height  has  been  determined  and  the  height 
of  the  telescope  above  it  measured  directly  by  a  light 
graduated  rod  carried  for  the  purpose.  The  latter  is  the 
usual  method.  For  rapid  work  in  an  open  country  the 
instrument  man  should  have  a  recorder,  and  can  then  em- 
ploy three  or  four  rodmen  and  an  assistant  to  sketch. 

The  tables  in  this  book  are  computed  from  the  following 
formulae:'  [s  -(£»_  !  W»>V  ^.V  . 

R' 
h  = (B  — c  — f)  Shi2V  +  (c  +  f)  SinV, 

2R 

R' 

d  = (B  — c  — f)  Cos'V+(c+  f)  Cos  V, 

R 

in  which 

R'  =  any  reading  of  the  stadia  for  which  the  horizontal 
distance  and  difference  of  level  are  sought. 

B  =  length  of  a  measured  base. 

R  =  reading  of  the  stadia  on  that  base. 

V  =  angle  of  elevation  or  depression. 

c  =  distance  from  center  of  instruments  to  center  of  ob- 
ject glass  of  telescope. 

F  =  principal  focal  distance  of  object  glass. 

d  =  horizontal  distance  corresponding  to  a  reading  R' 
and  angle  V. 

h  =  difference  of  elevation  corresponding  to  a  reading 
R'  and  angle  V. 

For  the  computation  of  these  tables  values  have  been 
assigned  to  B,  R  and  (c  +  f)  as  follows: 

B  =  1,000  feet. 

R  =  i,ooo  feet. 

(c  +  f)  =  1-4  feet. 

Then  when  V  and  R'  are  observed  the  corresponding 
values  of  d  and  h  may  be  taken  from  the  tables  in  a  man- 
ner similar  to  that  used  in  taking  the  latitudes  and  de- 
partures from  a  traverse  table. 

The  quantities  in  the  columns  headed  a  and  b  are  com- 
puted respectively  from  the  expressions  (c  +  f)  cos.  V,  and 
(c  +  f)  sin.  V,  in  the  formulae;  they  are  constant  for  all 


INTRODUCTION. 

readings,  if  the  angle  of  elevation  or  depression  is  not 
changed. 

EXAMPLE.— Let  it  be  required  to  find  the  horizontal 
distance  and  difference  of  level,  when  V  =  6°  43'  and  R' 
=  1,258. 

FOR  HORIZONTAL  DISTANCE. 

For  1,000 984-9 

"       200 196.99 

50 49-247 

8 7.8795 

"     (c  +  f)cos.  V 1.3905 

d  =  1240.4070  feet. 

FOR  DIFFERENCE  OF  LEVEL. 

For  1,000 116.0 

200 23.20 

50 5.8oo 

8 9279 

"     (c  +  f)  sin.  V.......      .1637 

h  =  146.0916  feet. 

In  tabulating  the  reductions  horizontal  distances  should 
be  taken  to  the  nearest  foot  and  differences  of  level  to  the 
nearest  i-io  foot. 


DISTANCES. 


t 

1 

"*-- 

3 

4 

5 

6 

7 

8 

9 

a 

00 

0.9986 

1.9972 

2.9958 

3-9944 

4-9930 

5-99i6 

6.9902 

7.9888 

8.9874 

.4000 

01 

0.9986 

1.9972 

2.9958 

3-9944 

4-9930 

5.99i6 

6.9902 

7.9888 

8.9874 

.4000 

02 

0.9986 

1.9972 

2.9958 

3-9944 

4-9930 

5.9916 

6.9902 

7.9888 

8.9874 

.4000 

03 

0.9986 

1.9972 

2.9958 

3-9944 

4-9930 

5.99i6 

6.9902 

7.9888 

8.9874 

.4000 

04 

0.9986 

1.9972 

2.9958 

3-9944 

4-9930 

5.99i6 

6.9902 

7.9888 

8.9874 

.4000 

05 

0.9986 

1.9972 

2.9958 

3-9944 

4-9930 

5.99i6 

6.0902 

7.9888 

8.9874 

.4000 

06 

0.9986 

1.9972 

2.9958 

3-9944 

4.9930 

6.9902 

7.9888 

8.9874 

.4000 

07 

0.9986 

1.9972 

2.9958 

3-9944 

4-9930 

5^9916 

6.9902 

7.9888 

8.9873 

.4000 

08 

0.9986 

1.9972 

2.9958 

3-9944 

4-9930 

5.99i6 

6.9902 

7.9888 

8.9873 

.4000 

09 

0.9986 

1.9972 

2.9958 

3-9944 

4-9930 

6.9902 

7-9887 

8.9873 

.4000 

10 

0.9986 

1.9972 

2.9958 

3-9944 

4-9930 

5  '.99i6 

6.9901 

7.9887 

8.9873 

.4000 

ii 

0.9986 

i  9972 

2.9938 

3-9944 

4-9930 

5.9915 

6.9901 

7-9887 

8.9873 

.4000 

12 

0.9986 

1.9972 

2.9958 

3-9943 

4.9929 

5-9915 

6.9901 

7.9887 

8.9873 

.4000 

13 

0.9986 

1-9972 

2.9958 

3-9943 

4-9929 

5.9915 

6.9901 

7-9887 

.4000 

14 

0.9986 

1.9972 

2.9957 

3-9943 

4.9929 

5.9915 

6.9901 

7-9887 

8^872 

.4000 

15 

0.9986 

J-9972 

2-9957 

3-9943 

4-9929 

5.9915 

6.9901 

7-9886 

8.9872 

.4000 

16 

0.9986 

1.9972 

2.9957 

3-9943 

4.9929 

5-9915 

6.9900 

7.9886 

8.9872 

.4000 

17 

0.9986 

1.9972 

2-9957 

3-9943 

4.9929 

5-9915 

6.9900 

7.9886 

8.9872 

.4000 

18 

0.9986 

1.9971 

2.9957 

3-9943 

4.9929 

5-9914 

6.9900 

7.9886 

8.9872 

.4000 

19 

0.9986 

i.  9971 

2-9957 

3-9943 

4.9920 

5-9914 

6.9900 

7.9886 

8.9871 

.4000 

20 

0.9986 

1.9971 

2-9957 

3-9943 

4-9928 

5.99H 

6.9900 

7.9885 

8.9871 

.4000 

21 

0.9986 

1.9971 

2.9957 

3-9943 

4.9928 

5.9914 

6.9899 

7-9885 

8.9871 

•3999 

22 

0.9986 

1.9971 

2-9957 

3.9942 

4.9928 

5.99I3 

6.9899 

7-9885 

8.9870 

•3999 

23 

0.9986 

1.9971 

2.9957 

3-9942 

4.9928 

5-9913 

7.9884 

8.9870 

•3999 

24 

0.9985 

I.997I 

2.9956 

3-9942 

4.9927 

5-9913 

6  9898 

7-9884 

8.9869 

•  3999 

25 

0.9985 

1.9971 

2.9956 

3-9942 

4.9927 

5.9913 

6.9898 

7.9884 

8.9869 

•  3999 

26 

0.9985 

1.9971 

2.9956 

3-9942 

4-9927 

5-9912 

6.9898 

7-9883 

8.9869 

•3999 

27 

0.9985 

1.9971 

2.9956 

3-9941 

5-9912 

6.9898 

7.9883 

8.9868 

•3999 

28 

0.9985 

I.997I 

2.9956 

3-9941 

4^27 

5-9912 

6.9897 

8.9868 

•3999 

29 

0.9985 

i.  9971 

2.9956 

3-9941 

4-9926 

5.9912 

6.9897 

7^882 

8.9868 

-3999 

30 

0.9985 

1.9970 

2.9956 

3-9941 

4.9926 

5-99H 

6.9897 

7.9882 

8.9867 

-3999 

3I 

0.9985 

1.9970 

2.9956 

3-9941 

4.9926 

5-99U 

6.9896 

7.9881 

8.9867 

-3999 

32 

0.9985 

1.9970 

2-9955 

3-9940 

4.9926 

5-99H 

6.9896 

7.9881 

8  .  9866 

•  3999 

33 

0.9985 

1.9970 

2-9955 

3-9940 

4.9925 

5-9910 

6.9895 

7.9880 

8.9866 

•3999 

34 

0.9985 

1.9970 

2-9955 

3-9940 

5.9910 

6.9895 

7.9880 

8.9865 

•3999 

35 

0.9985 

1.9970 

2-9955 

3-9940 

4.9925 

5-9910 

6.9895 

7.9880 

8.9865 

•3999 

36 

0.9985 

1.9970 

2-9955 

3.9940 

4.9924 

5.9909 

6.9894 

7.9879 

8.9864 

•3999 

0.9985 

1.9970 

2-9954 

3-9939 

4.9924 

5.9909 

6.9894 

7.9879 

8.9863 

•3999 

38 

0.9985 

1.0970 

2-9954 

3-9939 

4-9924 

6.9893 

7.9878 

8.9863 

•3999 

39 

0.9985 

1.9969 

2-9954 

3-9939 

4-9924 

5.9908 

6.9893 

7.9878 

8.9862 

•3999 

40 

0.9985 

1.9969 

2-9954 

3-9939 

4-9923 

5.9908 

6.9893 

7.9877 

8.9862 

•3999 

4i 

0.9985 

1.9969 

2-9954 

3-9938 

4-9923 

5.9907 

6.9802 

7.9877 

8.9861 

•3998 

42 

0.9984 

1.9969 

2-9953 

3-9938 

4-9922 

5.9907 

6.9891 

7.9876 

8.9860 

•3998 

43 

0.9984 

1.9969 

2-9953 

3-9938 

4-9922 

5-9907 

6.9891 

7.9875 

8.9860 

•3998 

44 

0.9984 

1.9969 

2-9953 

3-9937 

4-9922 

5.9906 

6.9890 

7.9875 

8.9859 

•3998 

45 

0.9984 

1.9960 

2.9953 

3-9937 

4.9921 

5.9906 

6  .  9890 

7.9874 

8.9858 

•3998 

46 

0.9984 

1.9968 

2-9953 

3-9937 

4.9921 

5-9905 

6.9889 

7.9874 

8.9858 

•3998 

47 

0.9984 

1.9968 

2.9952 

3-9936 

4.9921 

5.9905 

6.9889 

7.9873 

8.9857 

•3998 

48 

0.9984 

1.9968 

2.9952 

3-9936 

4-9920 

5.9904 

6.9888 

7.9872 

8  .  9856 

•3998 

49 
50 

0.9984 
0.9984 

1.9968 
1.9968 

2.9952 
2.9952 

3-9936 
3.9936 

4.9920 
4.9919 

5.9904 
5.9903 

6.9888 
6.9887 

7-9872 
7.9871 

8.9856 
8.9855 

•3998 
•3998 

51 

0.9984 

1.9968 

2.9951 

3-9935 

4-9919 

5.9903 

6.9887 

7.9870 

8.9854 

.3998 

52 

0.9984 

1.9967 

2.9951 

3-9935 

4.9919 

5.9902 

6.9886 

7.9870 

§•9853 

•3998 

53 

0.9984 

1.9967 

2.9951 

3-9934 

4-99i8 

5.9902 

6.9885 

7-9869 

8.9852 

•3998 

0.9984 

1.9967 

2.9951 

3-9934 

4.9918 

5-9901 

6.9885 

7.9868 

8.9852 

•  3998 

55 

0.9983 

1.9967 

2.995o 

3-9934 

4-9917 

5-9901 

6.9884 

7.9867 

§•9^51 

•  3998 

56 

0.9983 

1.9967 

2.0950 

3-9933 

4-9917 

5.9900 

6.9883 

7.9867 

8.9850 

.3998 

1 

0.9983 
0.9983 

1.9966 
1.9966 

2.9950 
2.9949 

3-9933 
3-9933 

4.9916 
4.9916 

5-9899 

6.9883 
6.9882 

7.9866 
7.9§65 

8.9849 
8.9848 

.3998 
.3998 

0.9983 

1.9966 

2-9949 

3-9932 

4.9915 

5.9898 

6.9881 

7.9864 

8.9847 

.3998 

60 

0.9983 

1.9966 

2.9949 

3-9932 

4.9915 

5.9898 

6.9881 

7.9864 

8.9847 

.3998 

HEIGHTS. 


1 

2 

3 

4 

5 

6 

7 

8 

9 

b 

r 

o.oooo 

0.0000 

o.oooo 

0.0000 

0  .  0000 

o.oooo 

o.oooo 

0  .  0000 

o.oooo 

0.0000 

00 

0.0003 

o  .  0006 

o  .  0009 

O.OOI2 

0.0015 

0.0017 

0.0020 

0.0023 

0.0026 

0.0004 

01 

0.0006 

0.0012 

0.0017 

0.0023 

0.0029 

0.0035 

0.0041 

0.0046 

0.0052 

0.0008 

02 

0.0009 

0.0017 

0.0026 

0.0035 

0.0044 

0.0052 

o  .  0061 

0.0070 

0.0078 

O.OOI2 

03 

0.0012 

0.0023 

0.0035 

0.0046 

0.0058 

o  .  0070 

0.0081 

0.0093 

0.0105 

0.0016 

04 

O.OOI5 

0.0029 

0.0044 

0.0058 

0.0073 

o  .  0087 

0.0102 

0.0116 

0.0131 

O.OO20 

°5 

0.0017 

0.0035 

0.0052 

0.0070 

0.0087 

0.0105 

0.0122 

0.0139 

0.0157 

0.0024 

06 

0  .  0020 

0.0041 

0.0061 

0.0081 

O.OI02 

O.OI22 

0.0142 

0.0163 

0.0183 

0.0029 

07 

0.0023 

0.0046 

0.0070 

0.0093 

0.0116 

0.0139 

0.0163 

0.0180 

0.0209 

0.0033 

08 

0.0026 

0.0052 

0.0078 

0.0105 

0.0131 

0.0157 

0.0183 

0.0209 

0.0235 

0.0037 

eg 

0.0029 

0.0058 

0.0087 

0.0116 

0.0145 

0.0174 

0.0203 

0.0232 

0.0261 

0.0041 

10 

0.0032 

o  .  0064 

0.0096 

0.0128 

0.0100 

0.0192 

0.0224 

0.0256 

0.0288 

0.0045 

II 

0.0035 

o  .  0070 

0.0105 

0.0139 

0.0174 

0.0209 

0.0244 

0.0279 

0.0314 

0.0049 

12 

0.0038 

0.0076 

0.0113 

0.0151 

0.0189 

o  .  0227 

o  .  0264 

o  .  0302 

o  .  0340 

0.0053 

13 

O.OO4I 

0.0081 

0.0122 

0.0163 

0.0203 

0.0244 

0.0285 

0.0325 

0.0366 

0.0057 

H 

0.0044 

0.0087 

O.OI3I 

0.0174 

0.0210 

0.0261 

0.0305 

0.0349 

0.0392 

0.0061 

i5 

o  .  0046 

0.0093 

O.OI39 

0.0186 

0.0232 

0.0279 

0.0325 

0.0372 

0.0418 

0.0065 

16 

0.0049 

0.0099 

0.0145 

0.0198 

0.0247 

0.0296 

0.0346 

0.0395 

0.0444 

0.0069 

17 

0.0052 

0.0105 

0.0157 

0.0209 

0.0261 

0.0314 

0.0366 

0.0418 

0.0471 

0.0073 

18 

0.0055 

O.OIIO 

0.0166 

O.O22I 

0.0276 

0.0331 

0.0386 

0.0442 

0.0497 

0.0077 

19 

0.0058 

0.0116 

0.0174 

0.0232 

0.0290 

0.0349 

0.0407 

0.0465 

0.0523 

0.0081 

20 

0.0061 

0.0122 

0.0183 

0.0244 

0.0305 

0.0366 

0.0427 

0.0488 

0.0549 

0.0086 

21 

o  .  0064 

0.0128 

0.0192 

0.0256 

0.0320 

0.0383 

0.0447 

0.0511 

o.o575 

0.0090 

22 

0.0067 

0.0134 

O  .  02OO 

0.0267 

0.0334 

0.0401 

0.0468 

o  .  0534 

0.0601 

0.0094 

23 

0.0070 

0.0139 

O  .  020Q 

o  .  0279 

0.0349 

0.0418 

0.0488 

0.0558 

0.0627 

0.0098 

24 

0.0073 

0.0076 

0.0145 

0.0151 

0.0218 
0.0227 

0.0290 
o  .  0302 

0.0363 
0.0378 

0.0436 
0.0453 

0.0508 
0.0529 

0.0581 
0.0604 

0.0654 
0.0680 

O.OI02 

0.0106 

3 

0.0078 

0.0157 

0.0235 

0.0314 

0.0392 

0.0471 

0.0549 

o  .  0627 

0.0706 

O.OIIO 

27 

0.0081 

0.0163 

0.0244 

0.0325 

0.0407 

0.0488 

0.0569 

0.0651 

0.0732 

0.0114 

28 

0.0084 

0.0168 

0.0253 

0.0337 

0.0421 

0.0505 

0.0590 

0.0674 

0.0758 

0.0118 

29 

0.0087 

0.0174 

0.0261 

0.0349 

0,0436 

0.0523 

0.0610 

0.0697 

0.0784 

0.0122 

30 

0.0090 

0.0180 

0.0270 

o  .  0360 

0.0450 

0.0540 

0.0630 

0.0720 

0.0810 

0.0126 

31 

0.0093 

0.0186 

o  .  0279 

0.0372 

0.0465 

0.0558 

0.0651 

0.0744 

0.0837 

0.0130 

32 

0.0096 

0.0192 

0.0288 

0.0^83 

0.0479 

0.0575 

0.0671 

o  .  0767 

0.0863 

0.0134 

33 

0.0099 

0.0198 

0.0296 

0.0395 

0.0494 

0.0593 

0.0691 

0.0790 

0.0889 

0.0138 

34 

0.0102 

0.0203 

0.0305 

o  .  0407 

0.0508 

0.0610 

0.0712 

0.0813 

0.0915 

0.0143 

35 

0.0105 

0.0209 

0.0314 

0.0418 

0.0523 

0.0627 

0.0732 

0.0836 

0.0941 

0.0147 

36 

0.0107 

0.0215 

0.0322 

0.0430 

0.0537 

0.0645 

0.0752 

0.0860 

0.0967 

0.0151 

O.OIIO 

0.0113 

0.0221 
O.O227 

0.0331 
0.0340 

0.0441 

0.0453 

0.0552 
0.0566 

o  .  0662 

0.0680 

0.0773 

0.0793 

0.0883 

0.0906 

0.0993 

0.1019 

0.0155 
0.0159 

39 

O.OIIO 

0.0232 

0.0349 

0.0465 

0.0581 

0.0697 

0.0813 

0.0929 

0.1046 

0.0163 

40 

0.0119 

0.0238 

0.0357 

0.0476 

0.0595 

0.0715 

0.0834 

0.0953 

0.1072 

0.0167 

41 

0.0122 

0.0244 

0.0366 

0.0488 

0.0610 

0.0732 

0.0854 

0.0976 

0.1098 

0.0171 

42 

0.0125 

O.025O 

0.0375 

0.0500 

0.0624 

0.0749 

0.0874 

0.0999 

0.1124 

0.0175 

43 

O.OI2S 

0.0256 

0.0383 

0.0511 

0.0639 

0.0767 

0.0895 

0.1022 

0.1150 

0.0179 

44 

O.OI3I 

0.026l 

o  .  0392 

0.0523 

0.0654 

0.0784 

0.0915 

o  .  1046 

0.1176 

0.0183 

45 

0.0134 

o  .  0267 

0.0401 

0.0534 

0.0668 

0.0802 

0.0935 

0.1069 

0.1202 

0.0187 

46 

0.0137 

0.0273 

0.0410 

0.0^46 

0.0683 

0.0819 

0.0956 

0.1092 

0.1229 

0.0191 

47 

0.0139 

0.0279 

0.0418 

0.05^8 

0.0697 

0.0836 

0.0976 

0.1115 

0.1255 

0.0195 

48 

0.0142 

0.0285 

0.0427 

0.0^69 

0.0712 

0.0854 

0.0996 

0.1138 

O.I28I 

O.O200 

49 

0.0145 

0.0290 

0.0436 

0.0581 

o  .  0726 

0.0871 

0.1017 

0.1162 

0.1307 

o  .  0204 

50 

0.0148 

0.0296 

0.0444 

0.0592 

0.0741 

0.0889 

0.1037 

0.1185 

0.1333 

0.0208 

51 

O.OI5I 

0.0302 

0.0453 

o  .  0604 

0.0755 

0.0906 

0.1057 

0.1208 

0.1359 

O.02I2 

52 

0.0154 

0.0308 

0.0462 

0.0616 

0.0770 

0.0923 

0.1077 

0.1231 

0.1385 

0.0216 

53 

0.0157 

0.0314 

o  .  0470 

0.0627 

0.0784 

0.0941 

0.1098 

0.1254 

0.1411 

O.O22O 

54 

0.0160 

0.0319 

0.0479 

0.0639 

0.0799 

0.0958 

0.1118 

0.1278 

0.1437 

0.0224 

55 

0.0163 

0.0325 

0.0488 

0.0650 

0.0813 

0.0976 

0.1138 

0.1301 

0.1463 

0.0228 

56 

0.0166 

0.0331 

0.0497 

o  .  0662 

0.0828 

0.0993 

0.1159 

o.  1324 

0.1490 

0.0232 

57 

0.0168 

0.0337 

0.0505 

0.0674 

0.0842 

O.IOII 

0.1179 

0.1348 

0.1516 

0.0236 

58 

0.0171 

0.0343 

0.0^14 

0.0685 

0.0857 

0.1028 

0.1199 

0.1371 

0.1542 

o  .  0240 

59 

0.0174 

0.0349 

0.0523 

0.0697 

0.0871 

0.1046 

0.1220 

0.1394 

0.1568 

0.0244 

60 

DISTANCES. 


p 

1 

2 

3 

4 

5 

6 

7 

8 

9 

a 

00 

0.9983 

1.9966 

2.9949 

3-9932 

4.9915 

5.9898 

6.9881 

7.9864 

8.9847 

•3998 

01 

0.9983 

1.9966 

2-9949 

3-9931 

4.9914 

5.9897 

6.9880 

7-9863 

8.9846 

•3997 

02 

0.9983 

1.9965 

2.9948 

3-9931 

4.9914 

5-9896 

6.9879 

7.9862 

8.9845 

•3997 

03 

0.9983 

1.9965 

2.9948 

3-9931 

4.9913 

5.9896 

6.9878 

7.986! 

8.9844 

•3997 

04 

0.0983 

1.9965 

2.9948 

3-9930 

4.9913 

5-9895 

6.9878 

7.9860 

8.9843 

•3997 

05 

0.9982 

1.9965 

2.9947 

3-9930 

4.9912 

5.9894 

6.9877 

7.9859 

8.9842 

•  3997 

06 

0.0982 

1.9965 

2.9947 

3-9929 

4.9912 

5.9894 

6.9876 

7.9858 

8.9841 

•3997 

07 

0.9982 

1.9964 

2-9947 

3-9929 

4.9911 

5.9893 

6.9875 

7.9858 

8.9840 

•3997 

08 

0.0982 

1.9964 

2.9946 

3.9928 

4.9910 

5.9892 

6.9875 

7.9857 

8.9839 

•3997 

09 

0.9982 

1.9964 

2.9946 

3.9928 

4.9910 

5-9892 

6.9874 

7-9856 

8.9838 

•3997 

10 

0.9982 

1.9964 

2.9946 

3.9927 

4.9909 

5.9891 

6.9873 

7.9855 

8.9837 

•3997 

ii 

0.9982 

1.9963 

2.9945 

3-9927 

4.9909 

5.9890 

6.9872 

7.9854 

8.9836 

•3997 

12 

0.9982 

1.9963 

2-9945 

3.9926 

4.9908 

5.9890 

6.9871 

7.9853 

8.9834 

•3997 

13 

0.9981 

1.9963 

2-9944 

3.9926 

4.9907 

5  9889 

6.9870 

7.9852 

8.9833 

•3997 

14 

0.9981 

1.9963 

2-9944 

3.9925 

4.9907 

5^9888 

6.9870 

7.9851 

8.9832 

•  3996 

15 

0.9981 

1.9962 

2.9944 

3.9925 

4.9906 

5.9887 

6.9869 

7-9850 

8.9831 

•3996 

16 

0.9981 

1.9962 

2-9943 

3.9924 

4.9906 

5.9887 

6  .  9868 

7.9849 

8.9830 

•3996 

17 

0.9981 

1.9962 

2.9943 

3.9924 

4.9905 

5.9886 

6.9867 

7-9848 

8.9829 

•3996 

18 

0.9981 

1.9962 

2.9943 

3-9923 

4.9904 

5.9885 

6.9866 

7.9847 

8.9828 

•3996 

19 

0.9981 

1.9962 

2.9942 

3.9923 

4.9904 

5-9884 

6.9865 

7-9846 

8.9827 

•  3996 

20 

0.9981 

1.9961 

2.9942 

3.9922 

4.9903 

5.9884 

6.9864 

7.9845 

8.9825 

•3996 

21 

0.9980 

1.9961 

2.9941 

3-9922 

4-9902 

5.9883 

6.9863 

7.9844 

8.9824 

•3996 

22 

0.9980 

1.9961 

2.9941 

3-9921 

4.9902 

5.9882 

6.9862 

7.9842 

8.9823 

•  3996 

23 

0.9980 

1.9960 

2.9941 

3.9921 

4.9901 

5.9881 

6.9861 

7.9841 

8.9822 

•  3996 

24 

0.9980 

1.9960 

2.9940 

3-9920 

4.9900 

5.9880 

6.9860 

7.9840 

8.9820 

.3996 

25 

0.9980 

1.9960 

2.9940 

3.9920 

4-9899 

5.9879 

6.9850 

7.9839 

8.9810 

•3995 

26 

0.9980 

J-9959 

2.9939 

3-9919 

4  .  9899 

5-9878 

6.9858 

7.9838 

8.9818 

•  3995 

27 

0.9980 

1.9959 

2-9939 

3.9918 

4.9898 

5.9878 

6.9857 

7.9837 

8.9816 

•3995 

28 

0.9979 

1-9959 

2.9938 

3-99i8 

4.9897 

5.9877 

6.9856 

7.9836 

8.9815 

•3995 

29 

0.0979 

2.9938 

3.99I7 

4-9897 

5.9876 

6.9855 

7.9834 

8.9814 

•3995 

30 

0.9979 

1.9958 

2-9937 

3-9917 

4.9896 

5.9875 

6.9854 

7.9833 

8.9812 

•3995 

31 

0-9979 

1.9958 

2.9937 

3-99i6 

4.9895 

5.9874 

6.9853 

7-98.32 

8.9811 

•  3995 

32 

0.9979 

1.9958 

2-9937 

3-9915 

4.9894 

5.9873 

6.9852 

7-9831 

8.9810 

•3995 

33 

0.9979 

1-9957 

2.9936 

3-9915 

4.9§93 

5.9872 

6.9851 

7  .  9829 

8.9808 

•  3995 

34 

0.9979 

1-9957 

2.9936 

3.99I4 

4.9893 

5.9871 

6.9850 

7  9828 

8.9807 

•3995 

9 

0.9978 
0.9978 

1-9957 
1-9956 

2-9935 
2-9935 

3.9913 
3.9913 

4.9892 
4-9891 

5-9870 
5-9860 

6.9849 

7-9827 
7.9826 

8.9805 
8.9804 

•3995 
•  3994 

I 

0.9978 
0.0978 

1.9956 
1-9956 

2-9934 
2-9934 

3-9912 
3-99II 

5.9868 
5.9867 

6.9846 
6.9845 

7.9824 
7-9823 

8.9802 
8.9801 

•3994 
•  3994 

39 

0.9978 

1-9955 

2-9933 

3-99" 

4.9889 

5-9866 

6.9844 

7.9822 

8.9799 

•  3994 

40 

0.9978 

1-9955 

2-9933 

3.9910 

4.9888 

5.9865 

6.9843 

7.9820 

8.9798 

•3994 

41 

0.9977 

1-9955 

2.9932 

3.9909 

4.9887 

5.9864 

6.9842 

7  9819 

8.9796 

•  3994 

42 

0.9977 

1-9954 

2.9932 

3-9909 

4.9886 

5.9863 

6.9840 

7.'98i8 

8-9795 

•  3994 

43 

0.9977 

1-9954 

2-9931 

3.9908 

4.9885 

5.9862 

6.9839 

7.9816 

8-9793 

•  3994 

44 

0.9977 

1-9954 

2-9931 

3-9907 

4.9884 

5.9§6i 

6.9838 

7.9815 

8.9792 

•  3994 

45 

0.9977 

1-9953 

2.9930 

3.9907 

4.9883 

5-9860 

6.9837 

7.98i3 

8.9790 

•3994 

46 

0.9976 

1-9953 

2.0929 

3-9906 

4.9882 

5.9859 

6.9835 

7.9812 

8.9788 

•  3993 

47 

0.9976 

1-9953 

2.9920 

3-9905 

4.9882 

5-9858 

6.9834 

7.9810 

8.9787 

•3993 

48 

0.0976 

1-9952 

2.9928 

3.9905 

4.9881 

5.9857 

6.9833 

7.9805 

8.9785 

•3993 

49 

0,0976 

1-9952 

2.9928 

3.9904 

4.9880 

5.9856 

6.9832 

7.9808 

8.9784 

•  3993 

5o 

0.9976 

1-9952 

2.9927 

3-9903 

4.9879 

5.9855 

6.9830 

7.9806 

8.9782 

•3993 

5i 

0.9976 

1.9951 

2.9927 

3-9902 

4.9878 

5.9854 

6.9829 

7.9805 

8.9780 

•3993 

52 

0.9975 

I-995I 

2.9926 

3.9902 

4.9877 

5.9852 

6  9828 

7-9803 

8.9779 

•3993 

53 

0.9975 

1.9950 

2.9926 

3-9901 

4-9876 

5.9851 

6.9826 

7.9802 

8.9777 

•3993 

54 

0.9975 

1-9950 

2.9925 

3-9900 

4.9875 

5.9850 

6.9825 

7.9800 

8.9775 

•  3993 

55 

0.9975 

1.9950 

2.9924 

4.9874 

5-9849 

6.9824 

7.9798 

8-9773 

•3992 

56 

0-9975 

1.9949 

2.9924 

3.9898 

4.9873 

5.9848 

6.9822 

7-9797 

8.9772 

•3992 

57 

0-9974 

1.9949 

2.9923 

3.9898 

4.9872 

5.9847 

6.9821 

7-9795 

8.9770 

•  3992 

58 
59 

0.9974 
0.9974 

1.9948 
1.9948 

2.9923 
2.9922 

3.9897 
3.9896 

4.9871 
4.9870 

5.9§45 
5.9844 

6.9820 
6.9818 

7-9794 
7-9792 

8.9768 
8.9766 

•  3992 
•3992 

60 

0-9974 

1.9948 

2.9922 

3.9895 

4.9869 

5.9843 

6.9817 

7-9791 

8.9765 

•  3992 

HEIGHTS. 


1 

2 

3 

4 

5 

6 

7 

8 

9 

b 

r 

0.0174 

•  0349 

0.0523 

0.0697 

0.0871 

o  .  1046 

0.1220 

o.i394 

0.1568 

.0244 

00 

0.0177 

0.0354 

0.0531 

0.0708 

0.0886 

0.1063 

0.1240 

0.1417 

0.1594 

.0248 

I 

o.oiSo 

0.0360 

0.0540 

0.0720 

0.0900 

0.1080 

0.1260 

0.1440 

0.1620 

•  0253 

2 

0.0183 

0.0366 

0.0549 

0.0732 

0.0915 

0.1098 

0.1281 

0.1464 

0.1647 

.0257 

3 

0.0186 

0.0372 

0.0558 

0.0743 

0.0929 

0.1115 

0.1301 

0.1487 

0.1673 

.0261 

04 

0.0189 

0.0378 

0.0566 

0.0755 

0.0944 

o.ii33 

O.I32I 

0.1510 

0.1699 

0.0265 

05 

0.0192 

0.0383 

o.o575 

0.0767 

0.0958 

0.1150 

0.1342 

o.i533 

0.1725 

0.0269 

06 

0.0195 

0.0389 

0.0584 

0.0778 

0.0973 

0.1167 

o  .  1362 

o.i557 

0.1751 

0.0273 

07 

0.0197 

0.0395 

0.0592 

0.0790 

0.0987 

0.1185 

0.1382 

0.1580 

0.1777 

0.0277 

08 

0  .  020O 

0.0401 

0.0601 

0.0802 

O.IOO2 

0.1202 

0.1403 

0.1603 

0.1803 

0.0281 

09 

0.0203 

0.0407 

0.0610 

0.0813 

0.1016 

0.1220 

0.1423 

0.1626 

0.1830 

0.0285 

10 

0.0206 
0.0209 

0.0412 
0.0418 

0.0619 
0.0627 

0.0825 
0.0836 

0.1031 
0.1045 

0.1237 

0.1255 

0.1443 
0.1464 

0.1649 
0.1673 

0.1856 

0.1882 

0.0289 
0.0293 

II 

12 

O.O2I2 

0.0424 

0.0636 

0.0848 

0.1060 

0.1272 

0.1484 

0.1696 

0.1908 

0.0297 

13 

0.0215 

0.0430 

0.0645 

0.0860 

0.1075 

0.1289 

0.1504 

0.1719 

0.1934 

0.0301 

14 

0.0218 

0.0436 

0.0653 

0.0871 

0.1089 

0.1307 

0.1525 

0.1742 

0.1960 

0.0305 

15 

0.0221 

0.0441 

0.0662 

0.0883 

0.1104 

0.1324 

o.  1545 

0.1766 

0.1986 

0.0309 

16 

0.0224 

0.0447 

0.0671 

0.0894 

0.1118 

0.1342 

0.1565 

0.1789 

0.2012 

0.0314 

i? 

0.0227 

0.0453 

0.0680 

0.0906 

Q.II33 

0.1359 

o  .  i  586 

0.1812 

0.2039 

0.0318 

18 

0.0229 

0.0459 

0.0688 

0.0918 

0.1147 

0.1376 

o  1606 

0.1835 

0.2065 

0.0322 

19 

0.0232 

0.0465 

0.0697 

0.0929 

0.1162 

Q.I394 

0^1626 

0.1858 

0.2091 

0.0326 

20 

0.0235 

0.0470 

0.0706 

0.0941 

0.1176 

0.1411 

0.1646 

0.1882 

0.2II7 

0.0330 

21 

0.0238 

0.0476 

0.0714 

0.0952 

0.1191 

0.1429 

0.1667 

0.1905 

0.2143 

0.0334 

22 

0.0241 

0.0482 

0.0723 

0.0964 

0.1205 

0.1446 

0.1687 

0.1928 

0.2109 

0.0338 

23 

0.0244 

0.0488 

0.0732 

o  .  0976 

O.I220 

0.1463 

o.  1707 

0.1951 

0.2195 

0.0342 

24 

0.0247 

0.0494 

0.0740 

0.0987 

0.1234 

0.1481 

0.1728 

0.1974 

O.222I 

0.0346 

25 

0.025O 

0.0499 

0.0749 

0.0999 

0.1249 

0.1498 

0.1748 

0.1998 

0.2247 

0.0350 

26 

0.0253 

0.0505 

0.0758 

O.IOIO 

0.1263 

0.1516 

0.1768 

0.2021 

0.2273 

0.0354 

27 

0.0256 

0.0511 

0.0767 

0.1022 

0.1278 

o.i533 

0.1789 

0.2044 

0.2300 

0.0358 

28 

0.0258 

0.0517 

0.0775 

0.1034 

0.1292 

0.1550 

0.1809 

0.2067 

0.2326 

0.0362 

29 

0.0261 

0.0523 

0.0784 

0.1045 

0.1307 

0.1568 

0.1829 

0.2090 

0.2352 

0.0366 

30 

0.0264 

0.0528 

0.0793 

0.1057 

O.I32I 

0.1585 

0.1849 

0.2114 

0.2378 

0.0371 

3i 

o  .  0267 

0.0534 

0.0801 

0.1068 

0.1336 

0.1603 

0.1870 

0.2137 

0.2404 

0.0375 

32 

0.0270 

0.0540 

0.0810 

0.1080 

0.1350 

0.1620 

0.1890 

0.2160 

0.2430 

0.0379 

33 

0.0273 

0.0546 

0.0819 

0.1092 

0.1365 

0.1637 

0.1910 

0.2183 

0.2456 

0.0383 

34 

0.0276 

0.0552 

0.0827 

0.1103 

0.1379 

0.1655 

0.1931 

0  .  22OO 

0.2482 

0.0387 

35 

0.0279 

0.0557 

0.0836 

0.1115 

0.1394 

0.1672 

0.1951 

0.2230 

0.2508 

0.0391 

36 

0.0282 
0.0285 

0.0563 
0.0569 

0.0845 
0.0854 

0.1126 
0.1138 

0.1408 
0.1423 

0.1690 
0.1707 

0.1971 
0.1992 

0.2253 

o  .  2276 

0.2534 
0.2561 

0.0395 
0.0399 

0.0287 

0.0575 

0.0862 

0.1150 

0.1437 

0.1724 

0.2012 

0.2299 

0.2587 

0.0403 

39 

0.0290 

0.0581 

0.0871 

0.1161 

0.1452 

0.1742 

0.2032 

0.2322 

0.26l3 

0.0407 

40 

0.0293 

0.0586 

0.0880 

0.1173 

0.1466 

o.i759 

0.2052 

0.2346 

0.2639 

0.0411 

41 

0.0296 

0.0592 

0.0888 

0.1184 

O.I48I 

Q.I777 

o  .  2073 

0.2369 

0.2665 

0.0415 

42 

0.0299 

0.0598 

0.0897 

0.1196 

0.1495 

0.1794 

0.2093 

0.2392 

0.2691 

0.0419 

43 

0.0302 

0.0604 

0.0906 

O.I20£ 

O.I5IO 

0.1811 

0.2II3 

0.2415 

0.2717 

0.042' 

44 

o  .  0305 
0.0308 

0.0610 
0.0615 

0.0914 
0.0923 

0.1219 
0.1231 

0.1524 
0.1539 

0.1829 
0.1846 

0.2134 
0.2154 

0.2438 

0.2462 

0.2743 
0.2769 

o  .  042; 

0.0432 

0.0311 
0.0314 

0.0621 
o  .  0627 

0.0932 
0.0941 

0.1242 
0.1254 

0.1553 
0.1568 

0.1864 
0.1881 

0.2174 

0.2485 
0.2508 

0.2795 
0.2822 

0.0436 
0.0440 

48 

0.0316 

0.0633 

0.0949 

0.1266 

0.1582 

0.1898 

0.221= 

0.2531 

0.2848 

0.044, 

49 

0.0319 

0.0639 

0.0958 

0.1277 

0.1597 

0.1916 

0.2235 

0.2554 

0.2874 

0.0448 

50 

0.0322 
0.0325 
0.0328 

0.064,: 
0.0650 
0.0656 

0.0967 
0.0975 
0.0984 

0.1289 
0.1300 
0.1312 

0.1611 
0.1626 
0.1640 

0.1933 
0.1951 
0.1968 

0.2255 

o  .  2276 

0.2296 

0.2578 

0.2601 
0.2624 

0.2900 
0.2926 
0.2952 

0.0452 
0.0456 

o  .  0460 

52 
53 

0.0331 

0.0662 

0.0993 

0.1324 

0.1655 

0.1985 

0.23l6 

o  .  2647 

0.2978 

o  .  046, 

54 

0.0334 

0.0668 

O.IOOI 

0.1335 

0.1669 

o  .  2003 

0.2336 

0.2670 

0.3004 

0.0468 

0.0337 

0.0673 

O.IOIO 

0.1347 

0.1684 

0.2020 

0.2357 

0.2694 

0.3030 

0.0472 

56 

0.0340 

0.0679 

0.1019 

0.1358 

0.1698 

0.2038 

0.2377 

0.2717 

0.3056 

0.0476 

57 

0.0342 

0.0685 

0.1027 

0.1370 

0.1712 

0.2055 

0.2397 

0.2740 

0.3082 

0.0480 

58 

0.0345 

0.0691 

0.1036 

0.1382 

0.1727 

0.2072 

0.2418 

0.2763 

0.3109 

0.048 

59 

0.0348 

0.0697 

0.1045 

Q.I393 

0.1742 

0.2O9O 

0.2438 

0.2786 

0.3135 

0.0489 

60 

DISTANCES. 


f 

1 

2 

3 

4 

5 

6 

7 

8 

9 

a 

00 

0-9974 

.9948 

2.9922 

3.9895 

4.9869 

5-9843 

6.9817 

7.9791 

8.9765 

•3992 

01 

0-9974 

•9947 

2.9921 

3.9895 

4.9868 

5-9842 

6.9815 

7-9789 

8.9763 

•3992 

02 

0-9973 

•9947 

2.9920 

3.9894 

5-9841 

6.9814 

7.9787 

8.9761 

•3992 

03 

0-9973 

.9946 

2.9920 

3.9893 

4  9866 

5-9839 

6.9812 

7-9786 

8.9759 

•3992 

04 

0-9973 

•  9946 

2.9919 

3-9892 

4-9865 

5-9838 

6.9811 

7-9784 

8-9757 

•3991 

05 

0-9973 

.9946 

2.9918 

3-9891 

4.9864 

5.9837 

6.9810 

7.9782 

8-9755 

•3991 

06 

0-9973 

•  9945 

2.9918 

3.9890 

4.9§63 

5-9835 

6.9808 

7.9781 

8-9753 

•3991 

07 

0.9972 

•9945 

2.9917 

3  .  9889 

4.9862 

5.9834 

6.9807 

7-9779 

8.9751 

•3991 

08 

0.9972 

•  9944 

2.9916 

3-9889 

4-9861 

5  •  9833 

6.9805 

7-9777 

8.9749 

•3991 

09 

0.9972 

•9944 

2.9916 

3-9888 

4.9860 

5-9832 

6.9804 

7.9776 

8-9747 

•3991 

10 

0.9972 

•9943 

2.9915 

3.9887 

4.9859 

5-9830 

6.9802 

7-9774 

8.9746 

•3991 

ii 

0.9972 

•9943 

2.9915 

3.9886 

4.9858 

5-9829 

6.9801 

7.9772 

8.9744 

•3990 

12 

0.9971 

-9943 

2.9914 

3-9885 

4.9856 

5.9828 

6.9799 

7-9770 

8-9741 

•  3990 

13 

0.9971 

.9942 

2.9913 

3.9884 

4-9855 

5.9826 

6-9797 

7.9768 

8-9739 

•3990 

14 

0.9971 

.9942 

2.9912 

3-9883 

4-9854 

5-9825 

6.9796 

7.9767 

8-9737 

•3990 

15 

0.0971 

•9941 

2  9912 

3.9882 

4-9853 

5-9824 

6.9794 

7.9765 

8-9735 

•3990 

16 

0.9970 

.9941 

2.99U 

3-9881 

4.9852 

5.9822 

5.9793 

7  •  9763 

8-9733 

•  3990 

17 

0.0970 

•  9940 

2.9910 

3-9881 

4.9851 

5.9821 

7.976i 

8-9731 

•3989 

18 

0.9970 

2.9910 

3-988o 

4.9850 

5-9819 

6.9789 

7-9759 

8.9729 

•3989 

19 

0.9970 

•  9939 

2.0909 

3-9879 

4.9848 

5-9818 

6  9788 

7-9757 

8-9727 

•3989 

20 

0.9969 

•  9939 

2.9908 

3-9878 

4.9847 

5-9817 

6.9786 

7.9756 

8.9725 

-3989 

21 

0.0969 

•9938 

2.9908 

3.9877 

4.9846 

5.9815 

6.9784 

7-9754 

8.9723 

.3989 

22 

0.9969 

•  9938 

2.9907 

3-9876 

4.9845 

5.9814 

6.9783 

7-9752 

8.9721 

23 

•  9937 

2.9906 

3.9875 

4-9844 

5.9812 

6.9781 

7.9750 

8.9718 

•  3988 

24 

o  .  9968 

•  9937 

2.0905 

3.9874 

4.9842 

5.9811 

6.9779 

7.9748 

8.9716 

.3988 

25 

0.9968 

•9936 

2.9905 

3.9873 

4-9841 

5.9809 

6.9778 

7.9746 

8.9714 

.3988 

26 

0.9968 

•9936 

2.9904 

3-9872 

4.9840 

5.9808 

6.9776 

7-9744 

8.9712 

.3988 

27 

0.9968 

•9935 

2.9903 

3-9871 

4.9839 

5.9806 

6.9774 

7-9742 

8.9710 

•3988 

28 

0.9967 

•9935 

2.9902 

3.9870 

4.9837 

5-9805 

6.9772 

7.9740 

8.9707 

.3987 

29 

0.0967 

•9934 

2.9902 

3.9869 

4.9836 

5-9803 

6.9771 

7-9738 

8.9705 

•3987 

30 

0.9967 

•9934 

2.9901 

3.9868 

4.9835 

5.9802 

6.9769 

7-9736 

8.9703 

.3987 

31 

0.9967 

•9933 

2.0000 

3.9867 

4-9834 

5.9800 

6.9767 

7-9734 

8.9701 

•3987 

32 

0.9966 

•9933 

2.9899 

3.9866 

4^832 

5-9799 

6-9765 

7-9732 

8.9698 

.3987 

33 

0.9966 

•9932 

2.9899 

3-9865 

4-9831 

5-9797 

6.9764 

7-9730 

8.9696 

•3987 

34 

•  9932 

2  0808 

3.9864 

4.9830 

5.9796 

6.9762 

7.9728 

8.9694 

.3986 

0.9966 

•9931 

2  '.9897 

3-9863 

J.9828 

5-9794 

6.9760 

7.9726 

8.9601 

•3986 

36 

0.0965 

•9931 

2.9896 

3-9862 

4.9827 

5-9793 

6.9758 

7.9723 

8.9689 

•3986 

37 

0.9965 

•  9930 

2.9896 

3-9861 

4.9826 

5-9791 

6.9756 

7-9721 

8.9687 

•3986 

38 

0.9965 

•  9930 

2.9895 

3-9860 

4-9825 

5  •  9789 

6-9754 

7.9719 

8.9684 

•  3986 

39 

0.9965 

.9929 

2.9894 

3.9859 

4.9823 

5.9788 

6-9753 

7.9717 

8.9682 

•3985 

40 

0.9964 

•9929 

2.9893 

3.9858 

4.9822 

5-9786 

6.9751 

7.9715 

8.9680 

.3985 

41 

0.9964 

.9928 

2.9892 

3.9856 

4.9821 

5-9785 

6.9749 

7.9713 

8.9677 

.3985 

42 

0.9964 

.9928 

2.9891 

3.9855 

4.9819 

5-9783 

6.9747 

7-97II 

8.9674 

.3985 

43 
44 

0.9964 
0.9963 

.9927 
•  9927 

2.9891 

3.9854 
3.9853 

4.9818 
4.9816 

5.9781 
5.978o 

6-9745 
6-9743 

7.9708 
7.97o6 

8.9672 
8.9669 

.3985 
.3984 

45 

0-9963 

.9926 

2.9889 

3-9*52 

4.98i5 

5-9778 

6-9741 

7.9704 

8.9667 

.3984 

46 

0.9963 

.9925 

2  .  9888 

3-985I 

4-9814 

5-9776 

6-9739 

7.9702 

8.9664 

.39§4 

47 

0.9962 

.9925 

2.9887 

3-9850 

4.9812 

5-9775 

6.9737 

7.97oo 

8.9662 

.3984 

48 

0.9962 

•  9924 

2.9886 

3.9849 

4.9811 

5-9773 

6.9735 

7.9697 

8.9659 

•3984 

49 

0.0962 

.9924 

2.9886 

3-9848 

4.9809 

5-9771 

6.9733 

7.9695 

8.9=57 

•3983 

50 

0.9962 

•9923 

2.9885 

3-9846 

4.9808 

5-9770 

6.9731 

7.9693 

8.9654 

•3983 

52 

0.9961 
0.9961 

•9923 

.9922 

2.9884 
2.9883 

3.9845 
3-9844 

4-9807 
4.9805 

5-9768 
5.9766 

6.9729 
6.9727 

7.9690 
7.9688 

8.9652 
8.9649 

.3983 
•3983 

53 
54 

0.9961 
0.9960 

.9921 
•  9921 

2.9882 
2.9881 

3-9843 
3-9842 

4.9804 
4.9802 

5.9764 
5.9763 

6.9725 
6.9723 

7.9686 
7.9683 

8.9646 
8.9644 

.3983 
.3982 

55 

0.9960 

•9920 

2.9880 

3-9841 

4.9801 

5-976i 

6.9721 

7.9681 

8.9641 

.3982 

56 

0.9960 

.9920 

2.9879 

3-9^39 

4-9799 

5-9759 

6.9719 

8.9638 

•  3982 

57 

0.9960 

.9919 

2.9879 

3-9838 

4-9798 

5-9757 

6.9717 

7.9676 

8.9636 

•  3982 

58 

0.9959 

.9918 

2.9878 

3.9837 

4.9796 

5-9756 

6.9715 

7.9674 

8.9633 

.398i 

59 

0.9959 

.9918 

2.9877 

3-9836 

4-9795 

5-9754 

6.9713 

7.9672 

8.9631 

.398i 

60 

0.0959 

.9917 

2.9876 

3.9835 

4-9793 

5-9752 

6.9711 

7.9669 

8.9628 

.3981 

HEIGHTS. 


1 

2 

3 

4 

5 

6 

7 

8 

9 

b 

t 

0.0348 

0.0697 

0.1045 

Q.I393 

0.1742 

0.2090 

0.2438 

0.2786 

0.3135 

0.0489 

00 

0.0351 

o  .  0702 

0.1054 

0.1405 

0.1756 

0.2107 

0.2458 

0.2810 

0.3161 

0.0493 

01 

0.0354 

0.0708 

0.1062 

0.1416 

0.1771 

0.2125 

0.2479 

0.2833 

0.3187 

0.0497 

02 

0.0357 

0.0714 

0.1071 

0.1428 

0.1785 

0.2142 

0.2499 

0.2856 

0.3213 

0.0301 

03 

0.0360 

0.0720 

o  .  1080 

0.1440 

0.1800 

0.2159 

0.2519 

o  .  2879 

0.3239 

0.0505 

04 

!  0.0363 

0.0726 

0.1088 

0.1451 

0.1813 

0.2177 

0.2540 

0.2902 

0.3265 

0.0509 

o| 

!  0.0366 

0.0731 

0.1097 

0.1463 

0.1828 

0.2194 

0.2560 

0.2926 

0.3291 

0.0513 

06 

0.0369 

0.0737 

0.1106 

0.1474 

0.1843 

0.2212 

0.2580 

0.2949 

o.33i7 

0.0517 

07 

0.0371 

0.0743 

0.1114 

0.1486 

0.1857 

O.2229 

0.2600 

0.2972 

0-3343 

0.0521 

08 

0.0374 

0.0749 

0.1123 

0.1498 

0.1872 

0.2246 

0.2621 

0.2995 

0.3370 

0.0525 

09 

0.0377 

0.0755 

0.1132 

0.1509 

0.1886 

0.2264 

0.2641 

0.3018 

0.3396 

0.0529 

10 

0.0380 

0.0760 

0.1141 

0.1521 

0.1901 

0.228l 

0.2661 

0.3042 

0.3422 

0.0533 

ii 

0.0383 

0.0766 

0.1149 

0.1532 

0.1915 

0.2299 

0.2682 

0.3065 

0.3448 

0.0537 

12 

0.0386 

0.0772 

0.1158 

o.i544 

0.1930 

0.2316 

0.2702 

0.3088 

0-3474 

0.0541 

13 

0.0389 

0.0778 

0.1167 

0.1556 

o.  1944 

0.2333 

0.2722 

0.3111 

0.3500 

0.0546 

14 

0.0392 

0.0783 

0.1175 

0.1567 

0.1959 

0.2350 

0.2742 

o.3i34 

0.3526 

0.0550 

15 

0.039; 

0.0789 

0.1184 

0.1578 

o.i973 

0.2368 

0.2762 

o.3i57 

0.3552 

0.0554 

16 

0.0398 

0.0793 

0.1193 

0.1590 

0.1988 

0.2385 

0.2783 

0.3180 

0.3578 

0.0558 

17 

0.0400 

0.0801 

O.I20I 

0.1602 

0.2002 

0.2402 

0.2803 

0.3203 

0.3604 

0.0562 

18 

0.0403 

0.0807 

O.I2IO 

0.1613 

0.2017 

o  .  2420 

0.2823 

0.3226 

0.3630 

0.0566 

19 

0.0406 

0.0812 

O.I2I9 

0.1625 

0.2031 

0.2437 

0.2843 

0.3250 

0.3656 

0.0570 

20 

0.0409 

0.0818 

0.1227 

0.1636 

o  .  2046 

0.2455 

0.2864 

0.3273 

0.3682 

0.0574 

21 

0.0412 

0.0824 

0.1236 

0.1648 

0.2000 

0.2472 

0.2884 

0.3296 

0.3708 

0.0578 

22 

0.0415 

0.0830 

0.1245 

0.1660 

0.2075 

0.2489 

0.2904 

o.33i9 

0.3734 

0.0582 

23 

0.0418 

0.0836 

0.1253 

0.1671 

o  .  2089 

0.2507 

0.2925 

0.3342 

0.3760 

0.0586 

24 

0.0421 

0.0841 

0.1262 

0.1683 

0.2103 

0.2524 

0.3366 

0.3786 

0.0590 

25 

0.0424 

0.0847 

0.1271 

0.1694 

0.2II8 

0.2542 

0.2965 

0.3389 

0.3812 

26 

0.0426 

0.0853 

0.1279 

0.1706 

0.2132 

0.2559 

0.2985 

0.3412 

0.3838 

0.0598 

27 

0.0429 

0.0859 

o.  1280 

0.1718 

0.2147 

0.2576 

0.3006 

0-3435 

0.3865 

0.0602 

28 

0.0432 

o  .  0865 

0.1297 

0.1729 

0.2161 

0.2594 

0.3026 

0.3458 

0.3891 

0.0607 

29 

0.0435 

0.0870 

0.1306 

0.1741 

0.2176 

0.26II 

0.3046 

0.3482 

0.3917 

0.0611 

30 

0.0438 

0.0876 

0.1314 

0.1752 

0.2190 

0.2629 

0.3067 

0.3505 

0-3943 

0.0615 

3i 

0.0441 

0.0882 

0.1323 

0.1764 

0.2205 

0.2646 

0.3087 

0.3528 

0.3969 

0.0619 

32 

0.0444 

0.0888 

0  1331 

0.1775 

0.2219 

0.2663 

0.3107 

0.3551 

0-3995 

0.0623 

33 

0.0447 

0.0893 

0.1340 

0.1787 

0.2233 

0.2680 

0.3127 

0-3574 

0.4021 

0.0627 

34 

0.0450 

0.0899 

0.1349 

0.1798 

0.2248 

0.2698 

0.3T47 

0-3597 

0.4047 

0.0631 

35 

0.0453 

0.0905 

0.1358 

0.1810 

o  .  2263 

0.2715 

0.3168 

0.4073 

0.0635 

36 

0.0455 

0.0911 

0.1366 

0.1822 

0.2277 

0.2732 

0.3188 

0^3643 

0.4099 

0.0639 

0.0458 

0.0917 

0.1375 

0.1833 

o  .  2292 

0.2750 

0.3208 

0.3666 

0.4125 

0.0643 

38 

0.0461 
0.0464 

o  .  0922 
0.0928 

0.1384 
0.1392 

0.1845 
0.1856 

0.2306 
0.2321 

0.2767 
0.2785 

0.^228 
0.3249 

0.3690 
o.37i3 

0.4151 
0.4177 

0.0647 
0.0651 

39 
40 

0.0467 

0.0934 

0.1401 

0.1868 

0.2335 

0.2802 

0.3269 

0.3736 

0.4203 

0.0655 

4i 

0.0470 
0.0473 

0.0940 
0.0946 

0.1410 
0.1418 

0.1880 
0.1891 

0.2350 
0.2364 

0.28l9 
0.2837 

0.3289 
0.3310 

0-3759 
0.3782 

0.4229 
0.4255 

0.0659 
0.0664 

42 
43 

0.0476 

0.0951 

0.1427 

0.1903 

0.2378 

0.2854 

0-3330 

0.3806 

0.4281 

0.0668 

44 

0.0479 

0.0957 

0.1436 

0.1914 

0.2393 

o  .  2872 

0-3350 

0.3829 

0.4307 

0.0672 

45 

0.0481 

0.0963 

0.1444 

0.1926 

0.2407 

o  .  2889 

0.3370 

0.3852 

0.4333 

0.0676 

46 

0.0484 

0.0969 

0.1453 

0.1937 

0.2422 

0.2906 

0-3390 

o.387§ 

0.4359 

0.0680 

47 

0.0487 

0.0974 

0.1462 

0.1949 

0.2436 

0.2923 

0.3410 

0.3898 

0.4385 

0.0684 

48 

0.0490 

0.0980 

0.1470 

0.1960 

0.2451 

0.2941 

o.343i 

0.3921 

0.4411 

0.0688 

49 

0.0493 

0.0986 

0.1479 

0.1972 

0.2465 

0.2958 

o.345i 

0.3944 

0.4437 

0.0692 

50 

0.0496 

0.0992 

0.1488 

0.1984 

0.2480 

0.2975 

0.3471 

0.3967 

0.4463 

0.0696 

5i 

0.0409 

0.0998 

0.1496 

0.1995 

0.2494 

0.2993 

0.3492 

0.3990 

0.4489 

0.0700 

52 

0.0502 

0.1003 

0.1505 

0.2007 

0.2508 

0.3010 

0.3512 

0.4014 

o.45i5 

0.0704 

53 

0.0505 

0.1009 

0.1514 

0.2018 

0.2523 

0.3028 

0-3532 

0.4037 

0.4541 

0.0708 

54 

0.0507 

0.1015 

0.1522 

0.2030 

0.2537 

0.3045 

0.3552 

o  .  4060 

0.4567 

0.0712 

55 

0.0510 

O.I02I 

0.1531 

0.2042 

0.2552 

0.3062 

0-3573 

0.4083 

0-4593 

0.0716 

56 

0.0513 

0.1026 

0.1540 

0.2053 

0.2566 

0.3079 

0-3593 

0.4106 

0.4619 

0.0721 

57 

0.0516 

0.1032 

0.1548 

o  .  2064 

0.2581 

0.3097 

0.3613 

0.4129 

0.4645 

0.0725 

58 

0.0519 

0.1038 

0.1557 

0.2076 

0.2595 

0.3114 

0.3633 

0.4152 

0.4671 

0.0729 

59 

0.0522 

0.1044 

0.1566 

0.2088 

0.2610 

0.3131 

0.3653 

0.4175 

0.4697 

0.0733 

60 

DISTANCES. 


F 

1 

2 

3 

4 

5 

6 

7 

8 

9 

a 

00 

0.9959 

1.9917 

2.9876 

3-983S 

4-9793 

5-9752 

6.9711 

7.9669 

8.9628 

•  3981 

01 

0.9958 

I.99I7 

2.9875 

3.9833 

4.9792 

5-9750 

6.9708 

7.9667 

8.9625 

.3981 

02 

0.9958 

1.9916 

2.9874 

3-9832 

4-9790 

5.9748 

6.9706 

7.9664 

8.9622 

-3981 

°3 

0.9958 

2.9873 

3-9831 

4.9789 

5-9746 

6.9704 

7.9662 

8.9619 

.3980 

04 

0-9957 

1.9915 

2.9872 

3-9830 

4.9787 

5-9744 

6.9702 

7.9659 

8.9617 

.3980 

05 

0.9957 

1.9914 

2.9871 

3-9828 

4.9785 

5-9743 

6.9700 

7.9657 

8.9614 

.3980 

06 

0-9957 

1.9914 

2.9870 

3-9827 

4.9784 

5-9741 

6.9697 

7.9654 

8.9611 

.3980 

c7 

0.9956 

I.99I3 

2.9860 

3-9826 

4.9782 

5-9739 

6.9695 

7-9652 

8.9608 

.3980 

08 

0.9956 

1.9912 

2.9868 

3-9825 

4  •  978  i 

5-9737 

6.9693 

7.9649 

8.9605 

•3979 

09 

0.9956 

1.9912 

2.9868 

4-9779 

5-9735 

6.9691 

7.9647 

8.9603 

•3979 

10 

0-9956 

1.9911 

2.9867 

3  '9822 

4.9778 

5-9733 

6.9689 

7.9644 

8.9600 

•3979 

II 

0.9955 

1.9910 

2.9866 

3.9§2i 

4-9776 

5-9731 

6.9686 

7.9642 

8-9597 

•3979 

12 

0-9955 

1.9910 

2.9865 

3-9819 

4-9774 

5.9729 

6.9684 

7.9639 

8-9594 

•3978 

13 

0-9955 

1.9909 

2.9864 

3-9818 

4-9773 

5-9727 

6.9682 

7.9636 

8.9591 

•  3978 

14 

0-9954 

1.9908 

2.9863 

3.98i7 

4-9771 

5-9725 

6.9679 

7.9634 

8.9588 

•3978 

15 

0-9954 

1.9908 

2.9862 

3-98i6 

4.9769 

5-9723 

6.9677 

7-9631 

8.9585 

-3978 

16 

0-9954 

1.9907 

2.9861 

3-9814 

4.9768 

5-9721 

6.9675 

7.9628 

8.9582 

•3977 

17 

0-9953 

1.9906 

2.9860 

3.9813 

4.9766 

5.9719 

6.9673 

7.9626 

8-9579 

•3977 

18 

0-9953 

1.9906 

2.9859 

3-9812 

4.9764 

5-9717 

6.9670 

7-9623 

8.9576 

•  3977 

19 

20 

0.9953 
0.9952 

1.9005 
1.9904 

2.9858 
2.9857 

3-9810 
3.9809 

4.9763 
4.9761 

5-9715 
5-9713 

6.0668 
6.9666 

7.9621 
7.9618 

8.9573 
8-9570 

•3977 
•3976 

21 

0.0952 

1.9904 

2.9856 

3.98o8 

4-9759 

5.9711 

6.9663 

7.9615 

8.9567 

-3976 

22 

0.9952 

1.9903 

2.9855 

3-9806 

4.975» 

5.9709 

6.9661 

7.9612 

8.9564 

-3976 

23 

o.995i 

1.9902 

2.9854 

3-9805 

•9756 

5-9707 

6.9658 

7.9610 

8.9561 

-3976 

24 

0.9951 

1.9902 

2.9853 

3-98o3 

4-9754 

5-9705 

6.9656 

7.9607 

8.9558 

.3975 

0.9951 

1.9901 

2.9852 

3-9802 

4-9753 

5.97o3 

6.9654 

7.9604 

8-9555 

-3975 

26 

0.0950 

1.9900 

2.98^0 

3.98oi 

4-9751 

5.9701 

6.9651 

7.9601 

8-9551 

-3975 

27 

0.9950 

1.9900 

2.9849 

4-9749 

5-9699 

6.9649 

7-9599 

8.9548 

•3975 

28 

0.9949 

1.9899 

2.9848 

3.9798 

4-9747 

5.9697 

6.9646 

7-9596 

8.9545 

-3974 

29 

0.9949 

1.9898 

2.9847 

3-9797 

4-9746 

5.9695 

6.9644 

7-9593 

8-9542 

-3974 

30 

0.9949 

1.9898 

2.9846 

3-9795 

•9744 

5.9693 

6.9641 

7.9590 

8-9539 

•3974 

31 

0.9948 

1.9897 

2.9845 

3-9794 

•  9742 

5-9691 

6.9639 

7.9587 

8.9536 

•3973 

32 

0.9948 

1.9896 

2.9844 

3-9792 

•  9740 

5.9688 

6.9636 

7.9584 

8.9533 

•  3973 

33 

0.9948 

1.9895 

2.9843 

•9738 

5-9686 

6.9634 

7.9582 

8.9529 

•3973 

34 

0.9947 

1.9895 

2.9842 

3-9789 

4-9737 

5.9684 

7-9579 

8.9526 

•3973 

0-9947 

1.9894 

2.9841 

•9735 

5.9682 

6.9629 

7.9576 

8.9523 

-3972 

36 

0.9947 

1.9893 

2.9840 

3*9786 

•9733 

5.9680 

6  9626 

7-9573 

8.9519 

-3972 

37 

0.9946 

1.9893 

2.9839 

•  9731 

5.9678 

6.9624 

7-9570 

8.9516 

•  3972 

38 

0.9946 

1.9892 

2.9838 

3.9784 

.9729 

5.9675 

6.9621 

7.9567 

8.9513 

•  3972 

39 

0.9946 

1.9891 

2.9837 

.9728 

5.9673 

6.9619 

7.9564 

8.9510 

•3971 

40 

0-9945 

1.9890 

2.9835 

3.978i 

.9726 

5.9671 

6.9616 

7.956i 

8.9506 

•  3971 

41 

0-9945 

1.9890 

2.9834 

3-9779 

4.9724 

5.9669 

6.9613 

7-9558 

8.9503 

•  3971 

42 

0.9944 

i  .  9889 

2.9833 

3-9778 

4.9722 

5  .  9666 

6.9611 

7-9555 

8.9500 

•  3971 

43 

0.9944 

i  9888 

2.9832 

3-9776 

4.9720 

5.9664 

6.9608 

7.9552 

8.9496 

•  3970 

44 

0-9944 

1.9887 

2.9831 

3-9775 

5.9662 

6.9605 

7-9549 

8.9493 

-3970 

45 

0.9943 

1.9887 

2.9830 

3-9773 

4.9716 

5.9660 

6.9603 

7.9546 

8.9489 

-3970 

46 

0-9943 

1.9886 

2.9829 

3.9772 

4.9714 

5.9657 

6.9600 

7-9543 

8.9486 

-3969 

48 

0-9943 
0.9942 

1.9885 
1.9884 

2.9828 
2.9826 

3-9770 
3-976Q 

4.97I3 
4.9711 

5.9655 
5.9653 

6.9598 
6.9595 

7-9540 
7-9537 

8.9483 
8.9479 

.3969 
.3969 

49 

0.9942 

1.9884 

2.9825 

3-9767 

4-9709 

5-9651 

6.9592 

7-9534 

8.9476 

.3969 

0.9941 

1.9883 

2.9824 

3.9765 

4.9707 

5.9648 

6.9590 

7.9531 

8-9472 

.3963 

Si 

0.9941 

1.9882 

2.9823 

3.9764 

4.9705 

5.9646 

6.9587 

7.9528 

8.9469 

•3968 

52 

0.9941 

1.9881 

2.9822 

3.9762 

4-9703 

5.9643 

6.9584 

7-9525 

8.9465 

.3968 

53 

0.9940 

1.9880 

2.9821 

3-976i 

4.9701 

5.9641 

6.9581 

7.9521 

8.9462 

.3968 

54 

0.9940 

1.9880 

2.9819 

3-9759 

4-9699 

5.9639 

6-9579 

7.9518 

8.9458 

.3967 

55 

0-9939 

1.9879 

2.98lg 

3-9758 

4.9697 

5.9636 

6.9576 

7.95I5 

8-9455 

.3967 

56 

0.9939 

i  .  9878 

2.9817 

3-9756 

4.9695 

5.9634 

6-9573 

7.9512 

8.9451 

.3967 

57 

0.9939 

1.9877 

2.9816 

3-9754 

4.9693 

5-9632 

6.9570 

8-9447 

.3967 

58 

0.9938 

1.9876 

2.9815 

3-9753 

4-9691 

5-9629 

6.9567 

7.9506 

8.9444 

.3966 

59 

0.9938 

1.9876 

2.9813 

3-9751 

4.9689 

5-9627 

6.9565 

7-9502 

8.9440 

.3966 

60 

0-9937 

1.9875 

2.9812 

3-9750 

4.9687 

5-9624 

6.9562 

7-9499 

8.9437 

.3966 

HEIGHTS. 


1 

2 

3 

4 

5 

6 

7 

8 

9 

b 

9 

0.0522 

0.1044 

0.1566 

0.2088 

0.2610 

o.3i3i 

0.3653 

0.4175 

0.4697 

0.0733 

00 

0.0525 

0.1050 

Q.I574 

0.2099 

o  .  2624 

0.3149 

0.3674 

0.4198 

0.4723 

0.0737 

01 

0.0528 

0.1055 

0.1583 

0.2III 

0.2638 

0.3166 

0.3694 

0.4222 

0.4749 

0.0741 

02 

0.0531 

0.1061 

0.1592 

0.2122 

0.2653 

0.3184 

o.37i4 

0.4245 

0.4775 

0.0745 

03 

0.0533 

o.  1067 

0.1600 

0.2134 

0.2667 

0.3201 

0-3734 

0.4268 

0.4801 

0.0749 

04 

o  .  0530 

0.1073 

0.1609 

0.2145 

0.2682 

0.3218 

0-3754 

0.4291 

0.4827 

0.0753 

05 

0.0539 

0.1078 

0.1618 

0.2157 

0.2696 

0.3235 

0.3774 

0.4314 

0.4853 

o.o757 

06 

0.0542 

0.1084 

0.1626 

0.2168 

0.2711 

0.3253 

0.3795 

0.4337 

0.4879 

0.0761 

07 

0.0545 

0.1090 

0.1635 

0.2180 

0.2725 

0.3815 

0.4360 

0.4905 

0.0765 

08 

0.0548 

0.1096 

0.1644 

0.2192 

0.2739 

0.3287 

0.3835 

0.4383 

0.4931 

0.0769 

09 

0.0551 

O.II02 

0.1652 

0.2203 

0.2754 

0.3305 

0.3856 

0.4406 

0.4957 

0.0773 

10 

0.0554 
0.0557 

0.1107 
O.III3 

0.1661 

0.1670 

0.2215 
0  .  2226 

0.2768 
0.2783 

0.3322 
0.3340 

0.3876 
0.3896 

0.4430 
0-4453 

0.4983 
0.5009 

0.0777 
0.0781 

II 

12 

0.0559 

0.1II9 

0.1678 

0.2238 

0.2797 

0.3356 

0.3916 

0-4475 

0.5035 

0.0786 

13 

0.0562 

O.II25 

0.1687 

0.2249 

0.2812 

0-3374 

0.3936 

0.4498 

0.5061 

0.0790 

14 

0.0565 

O.II30 

0.1696 

0.2261 

0.2826 

0-3391 

0.3956 

0.4522 

0.5087 

0.0794 

15 

0.0568 

O.II36 

0.1704 

o  .  2272 

0.2841 

0.3409 

0.3977 

0.4545 

0.5113 

o  .  0798 

16 

0.0571 

O.II42 

0.1713 

0.2284 

0.2855 

0.3426 

0.3997 

0.4568 

o.5i39 

o  0802 

17 

o.o574 

O.II48 

0.1722 

0.2296 

0.2869 

0.3443 

0.4017 

o.459i 

0.5165 

0.0806 

18 

0.0577 
0.0580 

O.II54 
O.II59 

0.1730 
0.1739 

0.2307 
0.2319 

0^898 

0.3461 
0.3478 

0.4038 
0.4058 

0^638 

0.5191 

0.5217 

0.0810 

0.0814 

19 

20 

0.0583 

O.II65 

0.1748 

0.2330 

0.2913 

0.3495 

0.4078 

0.4660 

0.5243 

0.0818 

21 

0.0585 
0.0588 

O.II7I 

0.1177 

0.1756 
0.1765 

0.2342 
0.2353 

0.2927 
0.2942 

0.3512 

0-3530 

0.4098 
0.4118 

0.4683 
0.4706 

0.5269 
0.5295 

0.0822 
0.0826 

22 
23 

0.0591 

0.1182 

0.1774 

0.2365 

0.2956 

0-3547 

0.4138 

o.473o 

0.5321 

0.0830 

24 

0.0594 

0.1188 

0.1782 

0.2376 

0.2971 

0.3565 

0.4159 

0.4753 

0.5347 

0.0834 

25 

0.0597 

0.1194 

0.1791 

0.2388 

0.2985 

0.3582 

0.4179 

0.4776 

0.5373 

0.0838 

26 

o  .  0600 

0.1200 

0.1799 

0.2399 

0.2999 

0.3599 

0.4199 

0.4799 

0.5399 

0.0842 

27 

0.0603 

0.1205 

0.1808 

0.2411 

0.3014 

0.3616 

0.4219 

0.4822 

0.5425 

0.0847 

28 

0.0606 

O.I2II 

0.1817 

0.2422 

0.3028 

0.3634 

0.4239 

0.4845 

o.545i 

0.0851 

29 

0.0608 

O.I2I7 

0.1825 

0.2434 

0.3042 

0.3651 

0.4259 

0.4868 

0.5477 

0.0855 

30 

0.0611 

0.1223 

0.1834 

0.2446 

0.3057 

0.3668 

0.4280 

0.4891 

0.5503 

0.0859 

31 

0.0614 

0.1229 

0.1843 

0.2457 

0.3071 

0.3686 

0.4300 

0.4914 

0.5529 

0.0863 

32 

0.0617 

0.1234 

0.1851 

0.2468 

0.3086 

0.3703 

0.4320 

0-4937 

0.5554 

0.0867 

33 

o  .  0620 

O.I24O 

0.1800 

0.2480 

0.3100 

0.3720 

0.4340 

0.4960 

0.5580 

0.0871 

34 

0.0623 
0.0626 

0.1246 
0.1252 

0.1869 
0.1877 

0.2492 

0.2503 

0.3115 
0.3129 

0.3737 
0-3755 

0.4360 
0.4381 

0.4983 
0.5006 

0.5606 
0.5632 

0.0875 
0.0879 

1 

0.0629 
0.0632 

0.1257 
0.1263 

0.1886 
0.1895 

0.2515 
0.2526 

0.3143 
0.3158 

o  .  3772 

0.4401 
0.4421 

0.5030 
0.5053 

0.5658 
0.5684 

0.0883 
0.0887 

0.0634 
0.0637 

0.1209 

0.1275 

0.1903 
0.1912 

0.2538 

0.2549 

0.3172 
0.3187 

0:3824 

0.4441 
0.4461 

0.5075 
0.5098 

0.5710 
0.5736 

0.0891 
0.0895 

39 
40 

o  .  0640 

0.1280 

o  .  192  i 

0.2561 

0.3201 

0.3841 

0.4481 

0.5122 

0.5762 

0.0899 

4i 

0.0643 

0.1286 

0.1929 

0.2572 

0.3215 

0.3859 

0.4502 

0.5145 

0.5788 

0.0903 

42 

c  .  0646 

0.1292 

0.1938 

0.2584 

0.3230 

0.3876 

0.4522 

0.5168 

0.5814 

0.0908 

43 

0.0649 

0.1298 

0.1946 

0.2595 

0.3244 

0.3893 

0.4542 

0.5190 

0.5839 

0.0912 

44 

0.0652 

0.1303 

0.1955 

o  .  2607 

0.3259 

0.3910 

0.4562 

0.5214 

0.5865 

0.0916 

45 

0.0655 

0.1309 

0.1964 

0.2618 

0.3273 

0.3928 

0.4582 

0.5237 

0.5891 

0.0920 

46 

0.0657 

0.1315 

0.1972 

o  .  2630 

0.3287 

0-3945 

0.4602 

0.5260 

0.5917 

0.0924 

47 

0.0660 

0.1321 

0.1981 

0.2642 

0.3302 

0.3962 

o  .  4622 

0.5283 

0-5943 

0.0928 

48 

0.0663 

0.1326 

0.1990 

0.2653 

0.3316 

0-3979 

0.4642 

0.5306 

0.5969 

0.0932 

49 

0.0666 

0.1332 

0.1998 

0.2664 

0.3331 

0-3997 

0.4663 

0.5329 

0-5995 

0.0936 

50 

0.0669 

0.1338 

0.2007 

0.2676 

0-3345 

0.4014 

0.4683 

0.5352 

0.6021 

0.0940 

51 

0.0672 

0.1344 

0.2016 

0.2688 

0-3359 

0.4031 

0.4703 

0.5375 

0.6047 

0.0944 

52 

0.0675 

0.1349 

0.2024 

0.2699 

0.3374 

0.4048 

0.4723 

0.5398 

0.6073 

0.0948 

53 

0.0678 

0.1355 

0.2033 

0.2710 

0.3388 

o  .  4066 

0.4743 

0.5421 

0.6099 

0.0952 

54 

0.0681 
0.0683 

0.1361 

0.1367 

0.2042 
0.2050 

0.2722 
0.2734 

0.3403 
o.34i7 

0.4083 

0.4100 

0.4764 
0.4784 

0.5444 
0.5467 

0.6125 
0.6151 

0.0956 
0.0961 

5^ 

0.0686 

0.1373 

o  .  2059 

0.2745 

o.343i 

0.4118 

0.4804 

0.5490 

0.6177 

0.0965 

57 

0.0689 

0.1378 

o  .  2067 

0.2756 

0.3446 

0.4135 

0.4824 

0.5513 

o  .  6202 

0.0969 

58 

o  .  0692 

0.1384 

o  .  2076 

o  .  2768 

0.3460 

0.4152 

0.4844 

0.5536 

0.6228 

0.0973 

59 

0.0695 

0.1390 

0.2085 

0.2780 

0.3474 

o  4169 

0.4864 

0.5559 

0.6254 

0.0977 

60 

DISTANCES. 


r 

~T~ 

~T~ 

3 

4 

5 

6 

7 

8 

9 

a 

00 

0-9937 

.9875 

2.9812 

3-9750 

4.9687 

5.9624 

6.9562 

7-9499 

8-9437 

.3966 

OI 

0-9937 

.9874 

2.9811 

3.9748 

4.9685 

5.9622 

6-9559 

7.9496 

8-9433 

.3966 

02 

0-9937 

.9873 

2.9810 

3.9746 

4-9683 

5.9619 

6.9556 

7-9493 

8.9429 

•  3965 

03 

0.9936 

.9872 

2.9809 

3-9745 

4.9681 

6-9553 

7.9489 

8.9426 

•  3965 

C4 

0.9936 

.9872 

2.9807 

3-9743 

4.9679 

5-96i5 

6.955o 

7.9486 

8.9422 

•3965 

3 

0-9935 
0.9935 

.9871 
.9870 

2.9806 
2.9805 

3-9741 
3-9740 

4.9677 
4.9675 

5.9612 
5.9610 

6-9547 
6-9545 

7.9483 
7-9479 

8.9418 
8.9414 

•3965 
•  3964 

07 

0-9935 

.9860 

2.9804 

3-9738 

4.9673 

5-9607 

6.9542 

7-9476 

8.9411 

•  3964 

08 

0-9934 

.9868 

2.9802 

3-9736 

4-9671 

5.9605 

6-9539 

7-9473 

8.9407 

•  3964 

09 

0.9934 

.9867 

2.9801 

3-9735 

4.9668 

5.9602 

6.9536 

7-9470 

8.9403 

•3963 

10 

0-9933 

.9867 

2.9800 

3-9733 

4.9666 

5.9600 

6-9533 

7.9466 

8.9400 

•3963 

ii 

0-9933 

.9866 

2.9799 

3-9731 

4.9664 

5-9597 

6.9530 

7.9463 

8.9396 

•  3963 

12 

0.9932 

.9865 

2.9797 

3-9730 

4.9662 

5-9595 

6.9527 

7-9459 

8-9392 

.3963 

13 

0.9932 

.9864 

2.9796 

3-9728 

4.9660 

6.9524 

7-9456 

8.9388 

.3962 

14 

0.9932 

.9863 

2.9795 

3.9726 

4-9658 

5.9589 

6.9521 

7-9452 

8.9384 

.3962 

15 

0.9931 

.9862 

2-9793 

3-9725 

4-9656 

5.9587 

6.9518 

7-9449 

8.9380 

.3962 

16 

0.9931 

.9861 

2.9792 

3-9723 

4.9654 

5.9584 

6.9515 

7.9446 

8.9376 

.3962 

17 

0.9930 

.9861 

2.9791 

3-9721 

4-9651 

5.9582 

6.9512 

7-9442 

8-9373 

18 

0-9930 

.9860 

3-9719 

4-9649 

5-9579 

6.9509 

7-9439 

8.9369 

'3061 

19 

0.9929 

•9859 

2.9788 

3.97i8 

4.9647 

5-9577 

6.9506 

7-9435 

8.9365 

.3961 

20 

0.9929 

.9858 

2.9787 

3-97i6 

4.9645 

5-9574 

6.9503 

7.9432 

8.9361 

.3960 

21 

0.9929 

.9857 

2.9786 

3.9714 

4.9643 

5-9571 

6.9500 

7.9428 

8.9357 

.3960 

22 

0.9928 

.9856 

2.9784 

3-9712 

4.9641 

5-9569 

6.9497 

7.9425 

8-9353 

•  3960 

23 

0.9928 

.9855 

2.9783 

3-97U 

4-9638 

5-9566 

6.9494 

7-9421 

8-9349 

•3959 

24 

0.9927 

.9854 

2.9782 

3-9709 

4-9636 

5.9563 

6.9490 

7.9418 

8-9345 

•3959 

li 

0.9927 
0.9926 

.9854 
.9853 

2.9780 
2.9779 

3-9707 
3-9705 

4.9634 
4-9632 

5.956i 
5-9558 

6.9487 
6.9484 

7.94M 
7-9410 

8-9341 
8-9337 

•  3959 
•3958 

27 

0.9926 

.9852 

2.9778 

3.9703 

4.9629 

5-9555 

6.9481 

7.9407 

8-9333 

•3958 

28 

0.0925 

.9851 

2.9776 

3-9702 

4.9627 

5-9553 

6.9478 

7.9403 

8.9329 

•3958 

29 

0.9925 

.9850 

2.9775 

3-9700 

4-9625 

5-9550 

6-9475 

7.9400 

8.9325 

•3958 

30 

0.9925 

.9849 

2.9774 

3.9698 

4.9623 

5-9547 

6.9472 

7.9396 

8.9321 

•3957 

31 

0.0924 

.9848 

2.9772 

3-9696 

4.9620 

5-9544 

6.9468 

7-9393 

8.9317 

•  3957 

32 

0.9924 

.9847 

2.9771 

3.9694 

4.9618 

5-9542 

6.9465 

8.9312 

•3957 

33 

0.9923 

.9846 

2.9769 

3.9693 

4.9616 

5-9539 

6  .  9462 

7^9385 

8.9308 

•  3956 

34 

0.9923 

•9845 

2.9768 

3-9691 

4-9613 

5-9536 

6-9459 

8.9304 

•3956 

0.9922 

.9844 

2.9767 

3-9689 

4.9611 

5-9533 

6.9456 

7^9378 

8.9300 

•  3956 

36 

0.9922 

.9844 

2.9765 

3-9687 

4.9609 

5-9531 

6.9452 

7-9374 

8.9296 

•  3955 

37 

0.9921 

•9843 

2.9764 

3.9685 

4.9606 

5.9528 

6.9449 

7-9370 

8  .  9292 

•  3955 

38 

0.9921 

.9842 

2.9762 

3.9683 

4.9604 

5-9525 

6.9446 

7.9367 

8.9287 

•  3955 

39 

0.9920 

.9841 

2.9761 

3-968i 

4.9602 

5.9522 

6-9443 

7.9363 

8.9283 

•3954 

40 

0.9920 

.9840 

2.9760 

3-9680 

4.9600 

5.95I9 

6-9439 

7-9359 

8.9279 

•3954 

4i 

0.9919 

.9839 

2.9758 

3.9678 

4-9597 

5.9517 

6.9436 

7-9355 

8.9275 

•  3954 

42 

0.9919 

•9838 

2.9757 

3.9676 

4-9595 

5.9514 

6-9433 

7-9352 

8.9270 

•3953 

43 

0.9918 

•9837 

2-9755 

3.9674 

4-9592 

5-95II 

6.9429 

7.9348 

8.9266 

•3953 

44 

0.9918 

.9836 

2-9754 

3.9672 

4-9590 

5.95o8 

6.9426 

7-9344 

8.9262 

-3053 

45 

0.9918 

•9835 

2-9753 

3-9670 

4.9588 

5.95o5 

6.9423 

7-9340 

8.9258 

-3952 

46 

0.9917 

•9834 

2.9751 

3-9668 

4.9585 

5.9502 

6.9419 

7-9336 

8.9253 

-3952 

47 

0.9917 

.9833 

2.9750 

3.9666 

4.9583 

5-9499 

6.9416 

7-9332 

8.9249 

-3952 

48 

0.9916 

.9832 

2.9748 

3.9664 

4.9580 

5.9496 

6.9412 

7.9329 

8.9245 

-3951 

49 

0.9916 

2.9747 

3.9662 

4-9578 

5-9494 

6.9409 

7-9325 

8.9240 

-3951 

50 

0.9915 

•9830 

2-9745 

3-9660 

4-9576 

5-9491 

6.9406 

7.9321 

8.9236 

•3951 

51 

0.9915 

9829 

2.9744 

3.9658 

4-9573 

5.9488 

6.9402 

7.9317 

8.9231 

-3950 

52 

0.9914 

.982$ 

2-9742 

3.9656 

4-9571 

5.9485 

6-9399 

7.9313 

8.9227 

-3950 

53 

0.9914 

.9827 

2.9741 

3.9654 

4-9568 

5.9482 

6-9395 

7.9309 

8.9223 

•3950 

54 

o.99i3 

.9826 

2-9739 

3-9653 

4-9566 

5-9479 

6.9392 

7.9305 

8.9218 

•  3949 

Ii 

0.9913 
0.9912 

.9825 
.9824 

2.973» 
2.9736 

3-9651- 
3.9649 

4.9563 
4.956i 

5-9476 
5-9473 

6.9388 
6.9385 

7-9301 
7.9297 

8.9214 
8.9209 

•3949 
-3949 

57 

0.9912 

.9823 

2-9735 

3.9647 

4.9558 

5-9470 

6.9381 

7.9293 

8.9205 

-3948 

59 

0.9911 
0.9911 

.9822 

.9821 

2-9733 
2.9732 

3.9645 
3-9643 

4-9556 
4-9553 

5.9467 
5.9464 

6.9378 
6-9375 

7.9289 
7.9285 

8.9200 
8.9196 

.3948 
.3948 

60 

0.9910 

.9820 

2.9730 

3-9641 

4-9551 

5.9461 

6.9371 

7.9281 

8.9191 

•  3947 

HEIGHTS. 


1 

2 

3 

4 

5 

6 

7 

8 

9 

b 

r 

o.o695 

0.1390 

0.2085 

0.2780 

0.3474 

0.4169 

0.4864 

0.5559 

o.  6254 

0.0977 

oo 

0.0698 

0.1396 

0.2093 

0.2791 

0.3489 

0.4187 

0.4884 

0.5582 

0.6280 

0.0981 

01 

0.0701 

0.1401 

0.2IO2 

0.2802 

0.3503 

0.4204 

0.4904 

0.5605 

0.6306 

0.0985 

02 

0.0704 

0.1407 

.2111 

0.2814 

0.3518 

0.4221 

0.4925 

0.5628 

0.6332 

0.0989 

03 

o  .  0706 

0.1413 

.2119 

0.2826 

0.3532 

0.4238 

0.4945 

0.5651 

0.6358 

0.0993 

04 

0.0709 

0.1419 

.2128 

0.2837 

0.3546 

0.42^6 

0.4965 

0.5674 

0.6384 

0.0997 

05 

0.0712 

0.1424 

.2136 

0.2848 

0.3561 

0.4273 

0.4985 

0.5697 

0.6409 

O.IOOI 

06 

0.0715 

0.1430 

.2145 

0.2860 

0-3575 

0.4290 

0.5005 

0.5720 

0.6435 

0.1005 

07 

0.0718 

0.1436 

•2154 

0.2872 

0.3589 

0.4307 

0.5025 

0.5743 

0.6461 

0.1009 

08 

0.0721 

0.1442 

.2162 

0.2883 

0.3604 

0.4325 

0.5045 

0.5766 

0.6487 

0.1013 

09 

0.0724 

0.1447 

.2171 

0.2894 

0.3618 

0.4342 

0.5065 

0.5789 

0.6513 

0.1017 

10 

0.0727 

0.1453 

.2l8o 

0.2906 

0.3633 

0.4359 

0.5086 

0.5812 

0.6539 

O.IO2I 

II 

0.0729 

0.1459 

.2188 

0.2918 

0.3647 

o.4376 

0.5106 

0.5835 

0.6565 

0.1025 

12 

0.0732 

0.1465 

.2197 

0.2929 

0.3661 

0.4394 

0.5126 

0.5858 

0.6591 

o  .  1029 

13 

0.0735 

0.1470 

.2205 

0.2940 

0.3676 

0.4411 

0.5146 

0.5881 

0.6616 

0.1033 

14 

0.0738 

0.1476 

.2214 

0.2952 

0.3690 

0.4428 

0.5166 

0.5904 

0.6642 

0.1037 

15 

0.0741 

0.1482 

.2223 

0.2964 

0.3704 

0.4445 

0.5186 

0.5927 

0.6668 

0.1041 

16 

jo.  0744 

0.1488 

.2231 

o.37i9 

0.4463 

0.5206 

o.595o 

0.6694 

0.1046 

17 

0.0747 

0.1493 

.2240 

o  .  2986 

0-3733 

0.4480 

0.5226 

0.5973 

o  .  6720 

0.1050 

18 

0.0749 

0.1499 

.2248 

0^2998 

0.3747 

0.4497 

0.5246 

0.6746 

0.1054 

19 

0.0752 

0.1505 

•2257 

0.3010 

0.3762 

0.4514 

0.5266 

0.6019 

0.6772 

0.1058 

20 

0.0755 

0.1510 

.2266 

0.3021 

0.3776 

0.4531 

0.5286 

0.6042 

0.6797 

0.1062 

21 

0.0758 

0.1516 

.2274 

0.3032 

o.379i 

0.4549 

0.5307 

0.606; 

0.6823 

0.1066 

22 

0.0761 

0.1522 

.2283 

0.3044 

0.3805 

0.4566 

0.5327 

0.6088 

0.6849 

0.1070 

23 

0.0764 
0.0767 

0.1528 
0.1533 

.2292 
.2300 

0.30^6 

0.3067 

0.3819 
0.3834 

0.4583 
0.4600 

0.5347 
0.5367 

o.6m 
0.6134 

0.6875 
0.6900 

0.1074 

0.1078 

24 

25 

o  .  0770 

0.1539 

.2309 

0.3078 

0.3848 

0.4618 

0.5387 

0.6157 

0.6926 

0.1082 

26 

0.0772 

0.1545 

.2317 

0.3090 

0.3862 

0.4635 

0.5407 

0.6180 

0.6952 

0.1086 

27 

0.0775 

0.15^1 

.2326 

0.3101 

0.3877 

0.4652 

0.5427 

0.6203 

0.6978 

0.1090 

28 

0.0778 

0.1556 

•2335 

0.3113 

0.3891 

0.4669 

0.5447 

0.6226 

0.7004 

0.1094 

29 

0.0781 

0.1562 

•2343 

0.3124 

0.3905 

0.4687 

0.5467 

0.6249 

0.7030 

0.1098 

30 

0.0784 

0.1568 

.2352 

0.3136 

0.3920 

0.4703 

0.5487 

0.6272 

0.7055 

O.I  102 

31 

0.0787 

Q.I574 

.2360 

0.3147 

0-3934 

0.4721 

0.5508 

0.6295 

0.7081 

O.II07 

32 

0.0790 

o.i579 

0.2369 

0.3159 

0.3948 

0.4738 

0.5528 

0.6318 

0.7107 

O.IIII 

33 

0.0793 

0.1585 

o  .  2378 

0.3170 

0.3963 

0.4755 

0.5548 

0.6340 

o.7i33 

O.IH5 

34 

0.0795 

0.1591 

0.2386 

0.3182 

0.3977 

0.4772 

0.5568 

0.6363 

0.7159 

0.1119 

35 

o  .  0798 

o.i597 

0.2395 

0.3193 

0-399* 

0.4790 

0.5588 

0.6386 

0.7185 

0.1123 

3° 

0.0801 

o  .  1602 

0.2403 

0.3204 

o  .  4006 

0.4807 

0.5608 

0.6409 

0.7210 

0.1127 

37 

0.0804 

0.1608 

0.2412 

0.3216 

o  .  4020 

0.4824 

0.5628 

0.6432 

0.7236 

0.1131 

38 

0.0807 

0.1614 

0.2421 

0.3228 

0.4034 

0.4841 

0.5648 

0.6455 

0.7262 

O.H35 

39 

0.0810 

o  .  1620 

0.2429 

0.3239 

0.4049 

0.4859 

0.5668 

0.6478 

0.7288 

0.1139 

40 

0.0813 

0.1625 

0.2438 

0.3250 

0.4063 

0.4876 

0.5688 

0.6501 

0.7313 

0.1143 

41 

0.0815 

0.1631 

0.2446 

0.3262 

0.4077 

0.4893 

0.5708 

0.6524 

0.7339 

0.1147 

42 

0.0818 

0.1637 

0.2455 

o  .  3273 

0.4092 

0.4910 

0.5728 

0.6547 

0.7365 

0.1151 

43 

0.0821 

0.1642 

0.2464 

o  .  328^ 

0.4106 

0.4927 

0.5748 

0.6570 

o.739i 

0.1155 

44 

0.0824 

0.1648 

0.2472 

0.3296 

0.4120 

0.4945 

0.5768 

0.6593 

o.74i7 

0.1159 

45 

0.0827 

0.16^4 

0.2481 

0.3308 

0.4135 

0.4962 

0.^788 

0.6615 

0.7442 

0.1163 

46 

0.0830 

0.1660 

0.2480 

0.3319 

0.4149 

0.4979 

0.5809 

0.6638 

0.7468 

0.1167 

47 

0.0833 

0.1665 

0.2498 

0.3331 

0.4163 

0.4996 

0.5829 

0.6661 

0.7494 

0.1171 

48 

0.0836 

0.1671 

0.2507 

0.3342 

0.4178 

0.5013 

0.5849 

0.6684 

0.7520 

0.1176 

49 

0.0838 

0.1677 

0.2515 

0.3354 

0.4192 

0.5030 

0.5869 

0.6707 

0.7546 

0.1180 

50 

0.0841 

0.1683 

0.2524 

0.3365 

0.4206 

0.5048 

0.5889 

0.6730 

0.7572 

0.1184 

5I 

0.0844 

0.1688 

0.2532 

0.4221 

0.5065 

0.5909 

0.6753 

0.7597 

0.1188 

52 

0.0847 

0.1694 

0.2541 

o  .  33&£ 

0.4235 

0.5082 

0.5929 

0.6776 

0.7623 

0.1192 

53 

0.0850 

0.0853 
0.0856 

0.1700 
0.1705 
0.1711 

0.2549 
0.2558 
0.2567 

0-3399 
0.3411 
0.3422 

0.4249 
o  .  4264 

0.4278 

0.5099 
0.5116 
0.5134 

0.5949 
0.5969 
0.5989 

0.6799 
0.6822 
0.6845 

0.7648 
0.7674 
0.7700 

0.1196 

0.1200 
O.I204 

54 

[i 

0.0858 

0.1717 

0.2575 

0-3434 

0.4292 

0.6009 

0.6867 

0.7726 

0.1208 

57 

0.0861 

0.1723 

0.2584 

0-3445 

0.4306 

ol5i68 

0.6029 

0.6890 

0.7752 

O.I2I2 

58 

0.0864 

0.1728 

0.2593 

0-3457 

0.4321 

0.5185 

0.6049 

0.6913 

0.7778 

0.1216 

59 

0.0867 

0.1734 

0.2601 

0.3468 

0.4335 

0.5202 

0.6069 

0.6936 

0.7803 

0.1220 

00 

DISTANCES. 


r 

1 

2 

3 

4 

5 

6 

7 

8 

9 

a 

00 

0.9910 

1.9820 

2.9730 

3-9641 

4-9551 

5.9461 

6.9371 

7.9281 

8.9191 

•  3947 

01 

0.9910 

i  9819 

2.9729 

3.9639 

4.9548 

5-9458 

6.9367 

7.9277 

8.9187 

•3947 

02 

0.9909 

1.9818 

2.9727 

3-9636 

4.9546 

5-9455 

6.9364 

7.9273 

8.9182 

•3946 

03 

0.9909 

1.9817 

2.9726 

4-9543 

5-9452 

6.9360 

7.9269 

8.9177 

-3946 

04 

05 

0.9908 
0.9908 

1.9816 
1-9815 

2.9724 
2.9723 

3*9632 
3-9630 

4-9541 
4.9538 

5-9449 
5.9446 

6-9357 
6-9353 

7.9265 
7.9261 

8.9173 
8.9168 

•3946 
•3945 

06 

0.9907 

1.9814 

2.9721 

3.9628 

4-9535 

5-9442 

6-9349 

7.9257 

8.9164 

•3945 

07 

0.0907 

1.9813 

2.9720 

3-9626 

4-9533 

5-9439 

6.9346 

7-9252 

8.9159 

•3944 

08 

0.9906 

1.9812 

2.9718 

3-9624 

4-9530 

5-9436 

6.9342 

7.9248 

8.9154 

-3944 

09 

0.9906 

1.9811 

2.9717 

3-9622 

4-9528 

5-9433 

6-9339 

7.9244 

8.9150 

-3944 

10 

0.0905 

1.9810 

2.9715 

3-9620 

4-9525 

5-9430 

6-9335 

7.9240 

8.9145 

-3943 

II 

0.9904 

1.9809 

2.9713 

3.9618 

4.9522 

5-9427 

6.9331 

7-9236 

8.9140 

•3943 

12 

0.9904 

1.9808 

2.9712 

3-96i6 

4.9520 

5.9424 

6.9328 

7-9232 

8.9136 

•3942 

13 

0.9903 

1.9807 

2.9710 

3-9614 

4.9517 

5.9421 

6.9324 

7.9227 

8.9131 

•  3942 

14 

0.9903 

1.9806 

2.9709 

3.9612 

4.9515 

5-9417 

6.9320 

7-9223 

8.9126 

-3941 

15 

0.9902 

1.9805 

2.9707 

3-96io 

4.0512 

5.94U 

6-9317 

7.9219 

8.9121 

•3941 

16 

0.9902 

1.9804 

2.9706 

3.9607 

4.9509 

5-94H 

6.9313 

7-9215 

8.9117 

•3941 

17 

0.9901 

1.9803 

2.9704 

3-96o5 

4.9507 

5.9408 

6-9309 

7.9211 

8.9112 

•  3940 

18 

0.9901 

i  .  9802 

2.9702 

3-96o3 

4.9504 

5-9405 

6.9306 

7.9206 

8.9107 

•  3940 

19 

0.9900 

1.9801 

2.9701 

3-9601 

4-9501 

5.9402 

6.9302 

7.9202 

8.9102 

•3940 

20 

0.9900 

1.9799 

2.9699 

3-9599 

4-9499 

5.9398 

6.9298 

7-9198 

8.9098 

-3939 

21 

0.9899 

1.9798 

2.9698 

3-9597 

4.9496 

5-9393 

6.9294 

7.9193 

8.9093 

•3939 

22 

0.9899 

I  .  9797 

2.9696 

3-9595 

4-9493 

5-9392 

6.9290 

7.9189 

8.9088 

•3938 

23 

o  .  9898 

I  .  9796 

2.9694 

3-9592 

4.9490 

6.9287 

7.9185 

8.9083 

•3938 

24 

0.9898 

1-9795 

2.9693 

3-9590 

4-9488 

5'9385 

6.9283 

7.9180 

8.9078 

•3938 

25 

0.9897 

1-9794 

2.9691 

3-9588 

4-9485 

5.9382 

6.9279 

7-9176 

8.9073 

•3937 

26 

0.9896 

1-9793 

3-9586 

4-9482 

5-9379 

6.9275 

7.9172 

8.9068 

•3937 

27 

0.9896 

1.9792 

2  9688 

3.9584 

4.9480 

5-9375 

6.9271 

7.9167 

8.9063 

-3936 

28 

0.9895 

1.9791 

2.9686 

3.958i 

4-9477 

5-9372 

6.9268 

7-9163 

8.0058 

•3936 

29 

0.9895 

1.9790 

2.9684 

3-9579 

4-9474 

5.9369 

6.9264 

7.9159 

§•9053 

•3936 

30 

0.9894 

1.9789 

2.9683 

3-9577 

4-9471 

5-9366 

6.9260 

7.9154 

8.9048 

•3935 

31 

0.9894 

1.9787 

2.9681 

3-9575 

4-9469 

5.9362 

6.9256 

7.9i5o 

8,9043 

3935 

32 

0.9893 

1.9786 

2.9679 

3-9573 

4.9466 

5-9359 

6.9252 

7-9145 

8.9038 

•3934 

33 

0.9893 

1.9785 

2.9678 

3-9370 

4-9463 

5-9355 

6.9248 

7-9141 

8.9033 

•3934 

34 

0.9892 

1.9784 

2.9676 

3-9368 

4-9460 

5-9352 

6.9244 

7-9136 

8.9028 

•3934 

1 

0.9891 
0.9891 

1.9783 
1.9782 

2.9674 
2.9673 

3-95C6 
3-9564 

4-9457 
4-9454 

5-9349 
5-9345 

6.9240 
6.9236 

7-9132 
7.9127 

8.9023 
8.9018 

•3933 
•3933 

0.9890 

1.9781 

2.9671 

3-95&I 

4-9452 

5-9342 

6.9232 

7-9123 

8.9013 

•3932 

^8 

0.9890 

1.9780 

2  .9669 

3-93^9 

4-9449 

5-9339 

6.9228 

7.9118 

8.9008 

-3932 

39 

0.9889 

1.9778 

2  9668 

3-9557 

4.9446 

5-9335 

6.9224 

7.9"4 

8-9003 

•  3932 

40 

0.9889 

1.9777 

2.9666 

3-9555 

4-9443 

5.9332 

6.9220 

7.9109 

8.8998 

•3931 

4i 

0.9888 

1.9776 

2.9664 

3-9552 

4.9440 

5-9328 

6.9216 

7.9104 

8.8993 

-3931 

42 

0.9887 

1-9775 

2.9662 

3-9550 

4-9437 

5-9325 

6.9212 

7.9100 

8  .  8987 

-3930 

43 

0.9887 

1-9774 

2.9661 

3-9548 

4-9435 

5-9321 

6.9208 

7.9095 

8.8982 

•3930 

44 

0.9886 

1-9773 

2.9659 

3-9545 

4-9432 

5-93i8 

6.9204 

7.9091 

8.8977 

•3930 

45 

0.98^6 

1-9772 

2.9657 

3-9343 

4-9429 

5.9315 

6.9200 

7.9086 

8.8972 

•3929 

46 

0.9885 

1-9770 

2.9656 

3-9541 

4.9426 

5-93H 

6.9196 

7.9081 

8.8967 

•  3929 

47 

0.9885 

1.9769 

2.9654 

3-9538 

4.9423 

5-93o8 

6.9192 

7.9077 

8.8961 

.3928 

48 

0.9884 

1.9768 

2.9652 

3-9536 

4.9420 

5-9304 

6.9188 

7.9072 

8.8956 

.3928 

49 

0.9883 

1.9767 

2.9650 

3-9534 

4.9417 

5-9300 

6.9184 

7.9067 

8.8951 

.3928 

50 

0.9883 

1.9766 

2.9649 

3-9531 

4.9414 

6.9180 

7-9063 

8.8946 

•3927 

5I 

0.9882 

1.9765 

2.9647 

3-9529 

4.9411 

5.9294 

6.9176 

7.9058 

8.8940 

-3927 

52 
53 

0.9882 
0.988! 

1.9763 
1.9762 

2.9645 
2.9643 

3-9527 
3-9324 

4.9408 
4.9405 

5.9290 
5.9280 

6.9172 
6.9167 

7.9053 
7-9048 

8.8935 
8.8930 

.3926 
.3926 

54 

0.9880 

1.9761 

2.9641 

3-9322 

4-9402 

5-9283 

6.9163 

7.9044 

8.8924 

.3926 

55 

0.9880 

1.9760 

2.9640 

3-9519 

4-9399 

6.9159 

7.9039 

8.8919 

-3925 

56 

0-9*79 

1-9759 

2.9638 

3-9517 

4-9396 

5.9276 

6.9155 

7.9034 

8.8913 

•  3925 

57 

0.9879 

1-9757 

2.9636 

3-9515 

4-9393 

5.9272 

6.9151 

7.9029 

8.8908 

•  3924 

58 

0.9878 

1-9756 

2.9634 

3-9512 

4-9390 

5.9268 

6.9147 

7-9025 

8.8903 

•  3924 

g 

0.9877 
0.9877 

1-9755 
1-9754 

2.9632 
2.9631 

3-9510 
3.95o8 

4-9387 
4.9384 

5-9265 
5.9261 

6.9142 
6.9138 

7.9020 
7-9015 

8  !  8892 

•3924 
-3923 

/  ,  - :  •  r 


5° 


1 

2 

3 

4 

5 

6 

7 

8 

9 

b 

f 

O.o867 

0.1734 

0.2601 

0.3468 

0.4335 

0.5202 

0.6069 

0.6936 

0.7803 

O.I22O 

oo 

0.0870 

0.1740 

0.2610 

0.3480 

0.5219 

0.6089 

0.6959 

0.7829 

O.I224 

01 

0.0873 

0.1745 

0.2618 

0.3491 

1.4364 

0.5236 

0.6109 

0.6982 

0.7854 

O.1228 

02 

o  .  0876 

0.1751 

0.2627 

0.3502 

0.4378 

0.5254 

0.6129 

0.7005 

0.7880 

0.1232 

03 

0.0878 

0.1757 

0.2635 

o.35i4 

0-4392 

0.5271 

0.6149 

0.7028 

0.7906 

0.1236 

04 

0.0881 

0.1763 

0.2644 

0.3525 

0.4407 

0.5288 

0.6169 

0.7051 

0.7932 

0.1240 

°5 

0.0884 

.1768 

0.2653 

0-3537 

0.4421 

o.53o5 

0.6189 

0.7074 

0.7958 

0.1244 

oo 

0.0887 

•  1774 

0.2661 

c.3548 

0-4435 

0.5322 

0.6209 

0.7096 

o  .  7983 

0.1248 

07 

0.0890 

.1780 

0.2670 

0.3560 

0.4450 

0.5339 

0.6229 

0.7119 

0.8009 

0.1253 

08 

0.0893 

.1786 

0.2678 

o.357i 

0-5357 

0.6249 

0.7142 

0.8035 

0.1257 

09 

0.0896 

.1791 

0.2687 

0.3582 

0^4478 

0-5374 

0.6269 

0.7165 

0.8060 

0.1261 

10 

0.0898 

0.1797 

0.2695 

0-3594 

0.4492 

0.5391 

0.6289 

0.7188 

0.8086 

0.1265 

II 

0.0901 

0.1803 

0.2704 

0.3605 

0.4507 

0.5408 

0.6309 

0.7211 

0.8112 

0.1269 

12 

0.0904 

0.1808 

0.2713 

0.3617 

0.4521 

0.5425 

0.6329 

0.7234 

0.8138 

0.1273 

13 

0.0907 

0.1814 

0.2721 

0.3628 

0-4535 

0-5442 

0.6349 

0.7256 

0.8163 

0.1277 

14 

0.0910 

o  .  1820 

0.2730 

0.3640 

0.4550 

0-5459 

0.6369 

0.7279 

0.8189 

0.1281 

15 

0.0913 

0.1826 

0.2738 

0.3651 

0.4564 

0.5477 

0.6389 

0.7302 

0.8215 

0.1285 

IO 

0.0916 

0.1831 

0.2747 

0.3662 

0.4578 

0.5494 

0.6409 

0.7325 

0.8240 

0.1289 

17 

0.0918 

0.1837 

0.2755 

0.3674 

0.4592 

0.5511 

0.6429 

0.7348 

0.8266 

0.1293 

18 

0.0921 

0.1843 

0.2764 

0.3685 

0.4607 

0.5528 

0.6449 

o.737i 

0.8292 

0.1297 

19 

0.0924 

0.1848 

0.2773 

0.3697 

0.4621 

0-5545 

0.6469 

0.7394 

0.8318 

0.1301 

20 

0.0927 

0.1854 

0.2781 

0.3708 

0.4635 

0.5562 

0.6489 

0.7416 

0.8343 

0.1305 

21 

0.0930 

0.1860 

0.2790 

0.3720 

0.4649 

0.5579 

0.6509 

0-7439 

0.8369 

0.1309 

22 

0.0933 
0.0936 

0.1865 
0.1871 

0.2798 
0.2807 

0-3731 
0.3742 

0.4664 
0.4678 

0.5596 
0.5614 

0.6529 
0.6549 

0.7462 
0.7485 

0.8394 
0.8420 

O.I3I3 
0.1317 

23 
24 

0.0938 
0.0941 

0.1877 
0.1883 

0.2815 
0.2824 

0-3754 
0.3765 

0.4692 
0.4706 

0.5631 
0.5648 

0.6569 
0.689 

0.7507 
0.7530 

0.8446 
0.8472 

0.1321 
0.1326 

3 

0.0944 
0.0947 

0.1888 
0.1894 

0.2833 
0.2841 

0.4721 
0.4735 

0.566$ 
0.5682 

0.6609 
0.6629 

0-7553 
0.7576 

0.8498 
0.8523 

0.1330 
0.1334 

S 

0.0950 

o  .  1900 

0.2850 

o  .  3800 

0.4749 

0.5699 

0.6649 

0.7599 

0.8549 

0.1338 

29 

0.0953 

0.1905 

0.2858 

0.3811 

0.4764 

0.5716 

0.6669 

0.7622 

0.8574 

0.1342 

30 

0.0956 

0.1911 

0.2867 

0.3822 

0.4778 

0-5734 

0.6689 

0.7645 

0.8600 

0.1346 

3i 

0.0958 
0.0961 

0.1917 

0.192^ 

0.2875 
0.2884 

0.3834 
0.3845 

0.4792 

o.575i 
0.5768 

0.6709 
0.6729 

0.7667 
0.7690 

0.8626 
0.8652 

o.i35o 
0.1354 

32 

33 

0.0964 

0.1928 

0.2892 

0.3856 

o  .  4820 

0.5785 

0.6749 

0.7713 

0.8677 

0.1358 

34 

0.0967 
0.0970 

0.1934 
0.1940 

0.2901 
0.2900 

0.3868 
0.3879 

0.4835 
0.4849 

0.5802 
0.5819 

0.6769 
0.6789 

0.7736 
0.7759 

0.8703 
0.8728 

0.1362 
0.1366 

1 

0.0973 
0.0976 

0.1945 
0.1951 

0.2918 
0.2927 

0.3891 
0.3902 

0.4863 
0.4878 

0.5836 
0.5853 

0.6809 
0.6829 

0.7782 
0.7804 

0.8754 
0.8780 

0.1370 
0.137^ 

0.0978 

0.1957 

0.2935 

0.4892 

0.5870 

0.6849 

0.7827 

0.8806 

39 

0.0981 

0.1962 

0.2944 

0^3925 

0.4906 

0.5887 

0.6869 

0.7850 

0.8831 

0.1382 

40 

0.0984 

0.1968 

0.2952 

0.3936 

0.4920 

0.5904 

0.6889 

0.7873 

0.8857 

0.1386 

41 

0.0987 

0.1974 

o  .  2961 

0.3948 

0-4934 

0.5921 

0.69QJ 

0.7895 

0.8882 

0.1390 

42 

0.0990 

0.1979 

0.2969 

0-3959 

0.4948 

0.5938 

0.692* 

0.7918 

0.8907 

0.1395 

43 

0.0993 

0.1985 

o  .  297^ 

0.3970 

0.4963 

0.5956 

0.6948 

o.794i 

0.8933 

0.1399 

44 

0.0995 

0.1991 

o  .  2986 

0.3982 

0.4977 

0-5973 

0.6968 

0.7963 

0.8959 

0.1403 

45 

0.0998 

0.1097 

0.2995 

0-3993 

0.4991 

0.5990 

0.6988 

0.7986 

0.8985 

0.1407 

46 

O.10OI 

O.2O02 

0.3003 

0.400^ 

0.5006 

o  .  6007 

o  .  700' 

0.8009 

0.9010 

0.1411 

47 

0.1004 

0.2008 

0.3012 

0.4016 

o  .  5020 

0.6024 

0.702! 

0.8032 

0.9036 

0.1415 

48 

0.1007 

0.2014 

0.3020 

o  .  4027 

0.5034 

0.6041 

0.7048 

0.8055 

0.9061 

0.1419 

49 

O.IOIO 

O.20IC 

0.3029 

0.4039 

0.5049 

0.6058 

0.7068 

0.8078 

0.9087 

0.1423 

50 

0.1013 

0.2025 

0.3038 

0.4050 

0.5063 

0.6075 

0.7088 

0.8100 

0.9113 

0.1427 

51 

O.IOI' 

0.2031 

0.3046 

0.4062 

0.5077 

0.6092 

0.7108 

0.8123 

0.9139 

0.1431 

52 

0.1018 

0.2036 

0.3055 

0.4073 

0.5091 

o.6ioc 

0.7127 

0.8146 

0.9164 

0.1435 

53 

O.I02I 

o  .  2042 

0.306^ 

0.408; 

0.5105 

0.6126 

o.7i47 

0.8168 

0.9189 

0.1439 

54 

O.I02< 

0.2048 

0.3072 

0.4096 

0.5119 

0.6143 

0.7167 

0.8191 

0.9215 

0.1443 

:.$ 

0.1027 

0.2053 

0.3080 

0.4107 

0.513^ 

0.6160 

0.7187 

0.8214 

0.9240 

0.1447 

56 

0.1030 

O.205C 

0.3089 

0.4118 

0.5148 

0.6177 

0.7207 

0.8237 

0.9266 

0.1451 

57 

0.1032 

0.2065 

0.3097 

0.4130 

0.5162 

0.619^ 

o  .  7227 

0.8259 

0.9292 

0.1455 

58 

o  .  103: 

0.207 

0.3106 

0.4141 

o.  ^76 

0.6212 

0.7247 

0.8282 

0.9318 

0.1459 

59 

0.1038 

o  .  2076 

0.3114 

0.4153 

0.5191 

0.6229 

0.7267 

0.8305 

0.9343 

0.146; 

60 

66 


DISTANCES. 


f 

1 

2 

3 

4 

5 

6 

1 

8 

9 

a 

00 

0.9877 

•9754 

2.9631 

3.95o8 

4.9384 

5.9261 

6.9138 

7-9015 

8.8892 

•  3923 

01 

0.9876 

•9753 

2.9629 

3-95C5 

4-9381 

5.9258 

7.9010 

8.8887 

.3923 

02 

0.9876 

•9751 

2.9627 

3-9503 

4-9378 

5.9254 

6.9130 

7.9005 

8.8881 

.3922 

03 

0.9875 

•  9750 

2.9625 

3-9500 

4-9375 

5-9250 

6.9125 

7  .  9000 

8.8875 

.3922 

04 

0.9874 

•  9749 

2.9623 

3.9498 

4-9372 

5-9247 

6.9121 

7  .  8996 

8.8870 

•3921 

05 

0.9874 

•  9748 

2.9621 

3-9495 

4.9369 

5.9243 

6.9117 

7.8991 

8.8864 

•  3921 

06 

0.9873 

.9746 

2.9620 

3-9493 

4.9366 

5.9239 

6.9113 

7.8986 

§•§§59 

.3921 

07 

0.9873 

•9745 

2.9618 

3-9490 

4.9363 

5-9236 

6.9108 

7.8981 

8.8853 

.3920 

08 

0.9872 

•  9744 

2.9616 

3.9488 

4.9360 

5-9232 

6.9104 

7.8976 

8.8818 

•  3920 

09 

0.9871 

•9743 

2.9614 

3.9486 

4-9357 

5.9228 

6.9100 

7.8971 

8.8842 

•  3919 

10 

0.9871 

.9742 

2.9612 

3.9483 

4-9354 

5-9225 

6.9095 

7.8966 

8.8837 

•  3919 

ii 

0.9870 

•  9740 

2.9610 

3.948i 

4-9351 

5.9221 

6.9091 

7.8961 

8.8831 

.3919 

12 

0.9870 

•9739 

2.9609 

4-9348 

5.9217 

6.9087 

7.89^6 

8.8826 

.3918 

13 

-9738 

2.9607 

3.9476 

4-9344 

5-9213 

6.9082 

7-8951 

8.8820 

14 

0.9868 

•  9737 

2.9605 

3-9473 

4-9341 

5.9210 

6.9078 

7.8946 

8.8814 

'39i7 

15 

0.9868 

•9735 

2.9603 

3-9471 

4-9338 

5.9206 

6.9073 

7-8941 

8.8809 

•  3917 

16 

0.9867 

•  9734 

2.9601 

3.9468 

4-9335 

5.9202 

6.9069 

7.8936 

8.8803 

•  3917 

17 

0.9866 

•9733 

2.9599 

3-9465 

4-9332 

5-9198 

6.9065 

7-8931 

H797 

•  39i6 

18 
19 

0.9866 
0.9865 

•  9732 
•  9730 

2.9597 
2-9595 

3.9463 
3.9460 

4.9326 

5-9195 
5-9i9i 

6.9060 
6.9056 

7.8926 
7.8921 

8.8792 
8.8786 

.3916 
.3915 

20 

0.9864 

.9729 

2-9593 

3-9458 

4-9322 

5.9187 

6.9051 

7.8916 

8.8780 

•3915 

21 

0.9864 

.9728 

2.9592 

3-9455 

4.9319 

5-9i83 

6.9047 

7.8911 

8.8775 

-3915 

22 

0.9863 

.9726 

2.9590 

3-9453 

4.93i6 

5.9179 

6.9042 

7.8906 

8.8769 

-3914 

23 
24 

0.9863 
0.9862 

•  9725 
•  9724 

2.9588 
2.9586 

3-9450 
3-9448 

4.9313 
4-9310 

5-9175 
5.9171 

6.9038 
6.9033 

7.8900 
7  -"f§95 

8.8763 

H757 

•  3914 
-39I3 

25 

0.9861 

•9723 

2.9584 

3-9445 

4.9306 

5-9168 

6.9029 

7.8890 

8.8751 

-3913 

26 

0.9861 

.9721 

2.9582 

3-9442 

4-9303 

5-9164 

6.9024 

7.88§5 

8.8745 

-3913 

27 

0.9860 

.9720 

2.9580 

3-9440 

4-9300 

5.9160 

6  .  9020 

7.8880 

8.8740 

•  3912 

28 

0.9859 

•9719 

2.9578 

3-9437 

4.9297 

5-9156 

6.9015 

7  -§§?5 

8.8734 

-3912 

29 

0.9859 

•  9717 

2.9576 

3-9435 

4.9293 

5-9152 

6.9011 

7.8869 

8.8728 

.•^911 

30 

0.9858 

.9716 

2-9574 

3-9432 

4.9290 

5-9148 

6.9006 

7.8864 

8.8722 

-39" 

31 

0.9857 

•9715 

2.9572 

3-9429 

4-9287 

5.9144 

6.9002 

7.8859 

8.8716 

•  3910 

32 

0.9857 

•9713 

2.9570 

3-9427 

4.9284 

5.9140 

6.8997 

7.8854 

8.8710 

•  3910 

33 

0.9856 

.9712 

2.9568 

3.9424 

4.9280 

5.9136 

6.8992 

7.8848 

8.8704 

•  3910 

34 

0.9855 

•  97" 

2.9566 

3.9422 

5-9132 

6  .  8988 

7-8843 

8.8698 

•  3909 

35 

0.9855 

.9709 

2.9564 

3-94I9 

4.9274 

5.9128 

6.8983 

7.8838 

8.8692 

36 

0.9854 
0.9853 

.97o8 
.9707 

2.9562 
2.9560 

3.9416 
3.94I4 

4.9270 
4.9267 

5.9124 
5.9120 

6.8978 
6.8974 

7-8832 
7.8827 

8.8686 
8.8680 

'390! 

38 

0.9853 

.9705 

2.9558 

3-94" 

4.9264 

5.9116 

6.8969 

7.8822 

8.8674 

•  3907 

39 

0.9852 

.9704 

2.9556 

3.9408 

4.9260 

5.9112 

6.8964 

7.8817 

8.8668 

-3907 

40 

0.9851 

•9703 

2-9554 

3.9406 

4.9257 

5.9108 

6.8960 

7.8811 

8.8662 

-3906 

4i 

0.9851 

.9701 

2.9552 

3.9403 

4.9254 

5.9104 

6.8955 

7.8806 

8.8656 

•  3906 

42 
43 

0.9850 
0.9849. 

.9700 
•  9699 

2.9550 
2.9548 

3-9400 
3.9398 

4.9250 

5-9100 
5.9096 

6.8950 
6.8946 

7.8800 
7-8795 

8  i  8644 

•  3905 
-3905 

44 

0.9840 

2.9546 

3-9395 

4.9244 

6.8941 

7.8790 

8^8638 

•  3904 

0.9848 

.9696 

2.9544 

3-9392 

4.9240 

5  .  9088 

6.8936 

7.8784 

8.8632 

•  3904 

46 

0.9847 

•  9695 

2.9542 

5.9084 

6.8931 

7.8779 

8.8636 

.3903 

47 

0.9847 

.9693 

2.9540 

3'9387 

4*9233 

5.9080 

6.8927 

7.8773 

8.8620 

-3903 

48 

0.9846 

.9692 

2.9538 

3.9384 

4.9230 

5-9076 

6.8922 

7.8768 

8.8614 

-3902 

49 

0.984; 

.9691 

2.9536 

4.9227 

5.9072 

6.8917 

7.8762 

8.8608 

•  3902 

50 

0.9845 

.9689 

2-9534 

3-9379 

4-9223 

5.9068 

6.8912 

7.8757 

8.8602 

.3901 

5l 

0.9844 

.9688 

2.9532 

3-9376 

4.9220 

5.9064 

6.8908 

7.8752 

8.8595 

•  3901 

52 

0.9843 

.9686 

2.9530 

3-9373 

4.9216 

5-9059 

6.8qoS 

7-8746 

8  8589 

.3900 

53 

0.9843 

•9685 

2.9528 

3-937o 

4.9213 

5-9055 

6.8898 

7.8740 

8.8583 

.3900 

54 

0.9842 

.9684 

2.9526 

4.9209 

5.9051 

6  .  8893 

7-8735 

8.8577 

-3899 

55 

0.9841 

.9682 

2.9523 

3'9365 

4.9206 

5.9047 

6  .  8888 

7-8729 

8.8570 

.3899 

56 

0.9840 

.9681 

2.9521 

3.9362 

4.9202 

5-9043 

6.8883 

7-8724 

8.8564 

.3898 

57 

o  .  9840 

.0680 

2.9519 

3-9359 

4.9199 

5.9039 

6.8878 

7.8718 

8.8^58 

.3898 

58 

0.9839 

.9678 

2.9517 

3-9356 

4  9195 

5.9034 

6.8874 

7-8713 

8.8552 

•3897 

59 

0.9838 

.9677 

2.9515 

3-9354 

4.9192 

5-9030 

6.8869 

7.8707 

8.8545 

•  3897 

60 

0.9838 

.9675 

2.9513 

3-9351 

4.9188 

5.9026 

6.8864 

7.8702 

8.8539 

.3896 

HEIGHTS. 


6° 


1 

2 

3 

4 

5 

6 

7 

8 

9 

b 

t 

0.1038 

0.2076 

0.3114 

o.4i53 

0.5191 

0.6229 

0.7267 

0.8305 

0-9343 

0.1463 

00 

O.I04I 

0.2082 

0.3123 

0.4164 

0.5205 

0.6246 

0.7287 

0.8327 

0.9368 

0.1467 

01 

0.1044 

0.2088 

0.3131 

0.4175 

0.5219 

0.6263 

0.7307 

0.8350 

0.9394 

0.1471 

02 

O.IC47 
0.1049 

0.2093 
0.2099 

0.3140 
0,3148 

0.4186 
0.4198 

0.5233 
0.5247 

0.6280 
0.6297 

0.7326 

0.8373 
0.8396 

0.9419 
0.9445 

0.1476 
0.1480 

03 
04 

0.1052 

0.2105 

0.4209 

0.5262 

0.6314 

o  7366 

0.8418 

0.9471 

0.1484 

0.1055 

0.2IIO 

0^3165 

o  .  4220 

0.5276 

0.6331 

0.7386 

0.8441 

0.9496 

0.1488 

06 

0.1058 

0.2116 

o.3i74 

0.4232 

0.5290 

0.6348 

0.7406 

0.8464 

0.9522 

0.1492 

07 

o.io6i 

0.2122 

0.3182 

0.4243 

0.5304 

0.6365 

0.7426 

0.8486 

0.9547 

0.1496 

08 

0.1064 

0.2127 

0.3191 

0.4255 

0.^318 

0.6382 

0.7446 

0.8509 

0.9573 

0.1500 

09 

0.1067 

0.2133 

0.3200 

0.4266 

0-5333 

0.6399 

0.7466 

0.8532 

0.9599 

0.1504 

10 

0.1069 

0.2139 

0.3208 

0.4277 

0.5347 

0.6416 

0.7485 

0.8554 

0.9624 

0.1508 

II 

0.1072 

0.2144 

0.3217 

0.4289 

0.5361 

0.6433 

0.7505 

0.8577 

0.9650 

0.1512 

12 

0.1075 

0.2150 

0.3225 

0.4300 

0-5375 

0.6450 

0.7525 

0.8600 

0.9675 

0.1516 

13 

0.1078 

0.2156 

0.3233 

0.4311 

0.5389 

0.6467 

0.7545 

0.8622 

0.9700 

0.1520 

14 

0.108  i 

0.2161 

0.3242 

0.4323 

0.5403 

0.6484 

0.7565 

0.8645 

0.9726 

0.1524 

15 

0.1084 

0.2167 

0.3251 

0-4334 

0.5418 

0.6501 

0.7585 

0.8668 

0.9752 

0.1528 

16 

0.1086 

0.2173 

0.3259 

0.4346 

0.5432 

0.6518 

0.7605 

0.8691 

0.9778 

0.1532 

17 

0.1089 

0.2178 

0.3268 

0.4357 

0.5446 

0.6535 

0.7624 

0.8714 

0.9803 

0.1536 

18 

0.1092 
0.1095 

0.2184 
0.2190 

0.3276 
0.3285 

0.4368 
0.4380 

0.5460 
0-5474 

0.6552 
0.6569 

0.7644 
0.7664 

0.8736 
0.8759 

0.9828 
0.9854 

0.1540 
0.1544 

19 

20 

0.1098 

0.2195 

0.3293 

0.4391 

0.5488 

0.6586 

0.7684 

0.8782 

0.9879 

0.1548 

21 

O.IIOI 

0.2201 

0.3302 

0.4402 

0.5503 

0.6603 

0.7704 

0.8804 

0.9905 

0.1552 

22 

0.1103 

0.2207 

0.3310 

0.4414 

0.5517 

o  .  6620 

0.7724 

0.8827 

o.993i 

0.1556 

23 

0.1106 

0.2212 

0.4425 

o.553i 

0.6637 

0.7743 

0.8850 

0.9956 

0.1561 

24 

0.1109 

0.2218 

0^3327 

0.4436 

0-5545 

0.6654 

0.7763 

0.8872 

0.9981 

0.1565 

25 

O.III2 

0.2224 

0.3336 

0.4448 

0-5559 

0.6671 

0.7783 

0.8895 

.0007 

0.1569 

26 

O.III5 

0.2229 

0.3344 

0.4459 

0.5573 

0.6688 

0.7803 

0.8918 

.0032 

Q.I573 

27 

O.IIIO 

0.2235 

0-3353 

0.4470 

0.5588 

o  .  6705 

0.7823 

0.8940 

.0058 

0.1577 

28 

O.II20 

0.2241 

0.3361 

0.4481 

0.5602 

0.6722 

0.7842 

0.8963 

.0083 

0.1581 

29 

O.II23 

0.2246 

0.3370 

0.4493 

0.5616 

0.6739 

0.7862 

0.8986 

.0109 

0.1585 

30 

O.II26 

0.2252 

0.3378 

0.4504 

0.5630 

0.6756 

0.7882 

0.9008 

.0134 

0.1589 

31 

O.II29 

0.2258 

o  •  3386 

0.4515 

0.5644 

0.6773 

0.7902 

0.9031 

.0159 

0.1593 

32 

O.II32 

0.2263 

0-3395 

0.4527 

0.5659 

0.6790 

0.7922 

0.9054 

.0185 

0.1597 

33 

O.II34 

o  .  2269 

0.3403 

0.4538 

0.5673 

0.6807 

0.7941 

0.9076 

.0210 

0.1601 

34 

0.1137 

O.2275 

0.3412 

0.4549 

0.5687 

0.6824 

0.7961 

0.9098 

.0236 

0.1605 

35 

O.II4O 

o  .  2280 

0.3421 

0.4561 

0.5701 

0.6841 

0.7981 

0.9121 

.0262 

0.1609 

36 

O.II43 

0.2286 

0.3429 

0.4572 

0.6858 

0.8001 

0.9144 

.0287 

0.1613 

0.1146 

0.2292 

0-3437 

0.4583 

0^5729 

0.6875 

0.8021 

0.9166 

.0312 

0.1617 

38 

0.1149 

0.2297 

0.3446 

0-4594 

0-5743 

0.6892 

0.8040 

0.9189 

•0337 

0.1621 

39 

0.1151 

0.2303 

0-3454 

0.5757 

0.6909 

0.8060 

0.9212 

.0363 

0.1625 

40 

0.1154 

0.2309 

0.3463 

0.4617 

0.5771 

0.6926 

0.8080 

0.9234 

.0389 

0.1629 

41 

0.1157 
0.1160 

0.2314 
0.2320 

0-3471 
0.3480 

0.4628 
0.4640 

0.5786 
0.5800 

0.6943 
0.6960 

0.8100 
0.8119 

0/9257 
0.9279 

.0414 
•0439 

0.1633 
0.1637 

42 
43 

0.1163 

0.2326 

0.3488 

0.4651 

0.5814 

0.6977 

0.8139 

0.9302 

.0465 

0.1641 

44 

0.1166 

0.2331 

0-3497 

0.4662 

0.5828 

0.6994 

0.8159 

0.9325 

.0490 

0.1645 

0.1168 

0.2337 

0.3505 

0.4674 

0.5842 

0.7010 

0.8179 

0-9347 

.0516 

0.1650 

46 

0.1171 
0.1174 

0.2342 
0.2348 

0.3514 

0.3522 

0.4685 
0.4696 

0.5856 
0.5870 

0.7027 
0.7044 

0.8199 
0.8219 

0.9370 
0-9393 

.0541 
.0567 

0.1654 

0.1658 

48 

0.1177 

0.2354 

0-3531 

0.4708 

0.5884 

0.7061 

0.8238 

.0592 

0.1662 

49 

0.1180 

0.2359 

0-3539 

0.4719 

0.5899 

0.7078 

0.8258 

0.9438 

.0617 

0.1666 

50 

0.1183 

0.2365 

0.3548 

0.4730 

0.5913 

0.7095 

0.8278 

0.9460 

.0643 

0.1670 

5i 

0.1185 

0.2371 

0-3556 

0.4742 

0.5927 

0.7112 

0.8298 

0.9483 

.0669 

0.1674 

52 

0.1188 

0.2376 

0-3565 

0-4753 

0-5941 

0.7129 

0.8317 

0.9506 

.0694 

0.1678 

53 

0.1191 

o  .  2382 

0-3573 

0.4764 

0-5955 

0.7146 

0.8337 

0.9528 

.0719 

0.1682 

54 

0.1194 
0.1197 

0.2388 
0.2393 

o.358i 
0.3590 

0.4775 
0.4786 

0.5969 
0.5983 

0.7163 
0.7180 

0.8357 
0.8^76 

0.9550 
0-9573 

•  0744 
.0769 

0.1686 
0.1690 

II 

0.1199 

0.2399 

0.3598 

0.4798 

0-5997 

0.7197 

0.8396 

0.9596 

•0795 

0.1694 

57 

0.1202 

0.2405 

0.3607 

0.4809 

0.6011 

0.7214 

0.8416 

0.9618 

.0821 

0.1698 

58 

O.I20IJ 

0.2410 

0.3615 

o  .  4820 

0.6025 

0.7231 

0.8436 

0.9641 

.0846 

0.1702 

O.I20O 

0.2416 

0.3624 

0.4832 

0.6040 

0.7247 

0.8455 

0.9663 

.0871 

0.1706 

60 

DISTANCES. 


F 

i 

2 

3 

4 

5 

6 

7 

8 

9 

a 

00 

0.9838 

1.9675 

2.9513 

3-9351 

4.9188 

5.9026 

6.8864 

7.8702 

8.8539 

1.3896 

01 

0.9837 

1.9674 

2.9511 

3-9348 

4.9185 

5.9022 

6.8859 

7.8696 

8.8533 

1.3896 

02 

0.9836 

1-9673 

2.9509 

3-9345 

4.9181 

5.9018 

6.8854 

7  .  8690 

8.8526 

1-3895 

03 

0.9836 

1.9671 

2.9507 

3-9342 

4.9178 

5.9013 

6.8849 

7  .  8684 

8.8520 

1.3895 

04 

0.9835 

1.9670 

2.9505 

3-9339 

4.9174 

5.9009 

6.8844 

7.8679 

8.8514 

1-3894 

05 

0.9834 

1.9668 

2.9502 

3-9337 

L.QlVl 

5-9005 

6.8839 

7.8673 

8.8507 

1-3894 

o6 

0.9833 

1.9667 

2.9500 

3-9334 

4-9167 

5.9001 

6.8834 

7.8667 

8.8501 

1.3893 

07 

0.9833 

1.9665 

2.9498 

3-9331 

4.9164 

5-8996 

6.8829 

7.8662 

8.8494 

1.3893 

08 

0.9832 

1.9664 

2.9496 

3.9328 

4.9160 

6.8824 

7.86;6 

8.8488 

1.3892 

09 

0.9831 

1.9663 

2.9494 

3.9325 

4-9156 

5  .  8988 

6.8819 

7.8650 

8.8482 

1.3892 

10 

0.9831 

1.9661 

2.9492 

3-9322 

4-9153 

5-8983 

6.8814 

7.8645 

8.8475 

1.3891 

II 

0.9830 

1.9660 

2.9490 

3.9319 

4.9149 

5.8979 

6.8809 

7-8639 

8.8469 

1.3891 

12 

0.9829 

1.9658 

2.9487 

4-9146 

5.8975 

6.8804 

7-8633 

8.8462 

1.3890 

13 

0.9828 

1.9657 

2.9485 

3.93I4 

4.9142 

5-8970 

6.8799 

7.8627 

8.8456 

i  .  3890 

14 

0.9828 

1.9635 

2.9483 

3-93H 

4.9138 

5.8966 

6.8794 

7.8621 

8.8449 

i  •  3889 

15 

0.9827 

1.9654 

2.9481 

4.9135 

5.8962 

6.8789 

7.8616 

8.8442 

1.3889 

16 

0.9826 

1.9652 

2-9479 

3.9305 

5.8957 

6.8783 

7.8610 

8.8436 

1.3888 

17 

0.9825 

1.9651 

2.9476 

3-9302 

4-9127 

5.8953 

6.8778 

7.8604 

8.8429 

1.3888 

18 

0.9825 

1.9650 

2.9474 

4.9124 

5.8949 

6.8773 

7-8598 

8.8423 

3887 

19 

0.9824 

1.9648 

2.9472 

3.9296 

4.9120 

5.8944 

6.8768 

7-8592 

8.8416 

.3887 

20 

0.9823 

1.9647 

2.9470 

3.9293 

4.9117 

5.8940 

6.8763 

7.8586 

8.8410 

.3886 

21 

0.9823 

1-9645 

2.9468 

3-9290 

4.9113 

5.8935 

6.8758 

7-8580 

8.8403 

.3886 

22 

0.9822 

1.9644 

2.9465 

3-9287 

4.9109 

5-8931 

6.8753 

7.8574 

8.8396 

.3885 

23 

0.9821 

1.9642 

2.9463 

3-9284 

4.9105 

5.8926 

6.8747 

7-8569 

8.8390 

•  3885 

24 

0.9820 

1.9641 

2.9461 

3-9281 

4.9102 

5.8922 

6.8742 

7-8563 

8.8383 

.3884 

1 

0.9820 
0.9819 

1-9639 
1.9638 

2.9459 
2-9457 

3.9278 
3.9275 

4.9098 
4.9094 

5.8918 
5-8913 

6.8737 
6.8732 

7-8557 
7-8531 

8.8376 
8.8370 

.3884 
.3883 

0.9818 

1.9636 

2-9454 

3.9272 

4.9091 

5.8909 

6.8727 

7-8545 

8.8363 

.3883 

28 

0.9817 

I.9635 

2.9452 

3.9269 

4.9087 

5.8904 

6.8722 

7-8539 

8.8356 

.3882 

29 

0.9817 

I-9633 

2.9450 

3.9266 

4-9083 

5  .  8900 

6.8716 

7-8533 

8.8349 

.3882 

30 

0.9816 

1-9632 

2.9448 

3-9263 

4-9079 

5.8895 

6.8711 

7-8527 

8.8343 

.3881 

31 

0.9815 

1.9630 

2.9445 

3.9260 

4-9076 

5.8891 

6.8706 

7-8521 

8.8336 

-388i 

32 

33 
34 

0.9814 
0.9814 
0.9813 

1.9629 
1.9627 
1.9626 

2.9443 
2.9441 
2.9438 

3.9257 
3.9254 
3.9251 

4.9072 
4.9068 
4.9064 

5.8886 
5.8882 
5-8877 

6.8700 
6.8695 
6.8690 

7.85i5 
7.8509 
7-8503 

8.8329 
8.8322 
8.8315 

.3880 
.3880 
.3879 

0.9812 

1.9624 

2.9436 

3-9248 

4.9060 

5.8872 

6.8684 

7.8497 

8.8309 

-3879 

36 

0.9811 

1.9623 

2.9434 

3.9245 

4-9057 

5.8868 

6.8679 

7.8490 

8.8302 

.3878 

39 
40 

0.9811 
0.9810 

1.9621 
1.9620 
1.9618 
1.9617 

2.9432 
2.9429 
2.9427 
2.9425 

3-9242 
3.9239 
3.9236 
3.9233 

4-9053 
4.9049 
4-9045 
4.9041 

5.8863 
5-8859 
5.8854 
5.8850 

6.8674 
6.8669 
6.8663 
6.8658 

7.8484 
7,8478 
7.8472 
7.8466 

8  '.  8288 
8.8281 
8.8274 

& 

.3876 
-3876 

41 

0.9807 

1.9615 

2.9422 

3.9230 

4-9037 

5.8845 

6.8652 

7.8460 

8.8267 

.3§75 

42 
43 
44 

0.9807 
0.9806 
0.9805 

1.9613 
1.9612 
1.9610 

2.9420 
2.9418 
2.9416 

3.9227 
3-9224 
3.9221 

4-9034 
4.9030 
4.9026 

5.8840 
5.8836 
5.8831 

6.8647 
6.8642 
6.8636 

7.8454 
7-8448 
7-8441 

8.8260 
8.8253 
8.8247 

.3875 
-3874 
.3874 

0.9804 
0.9804 
0.9803 

1.9609 
1.9607 
1.9606 

2.9413 
2.9411 
2.9409 

3-9218 
3-9214 
3.9211 

4.9022 
4.9018 
4.9014 

5.8826 
5.8822 
5.8817 

6.8631 
6.8625 
6.8620 

7.8435 
7.8429 
7.8423 

8.8240 
8.8233 
8.8226 

.3873 
.3872 
-3872 

48 

0.9802 

1.9604 

2.9406 

3.9208 

4.9010 

5.8812 

6.8614 

7.8416 

8.8219 

.3871 

49 

50 

0.9801 
0.9801 

1.9603 
1.9601 

2.9404 
2.9402 

3-9205 
3-9202 

4.9006 
4.9003 

5.8808 
5-8803 

6.8609 
6.8604 

7.8410 
7.8404 

8.8212 

8.8205 

-3871 
.3870 

5I 

0.9800 

1-9599 

2-9399 

3-9199 

4.8999 

5.8798 

6.8598 

7-8398 

8.8197 

.3870 

52 

0.9799 

I-9598 

2-9397 

3.9196 

4-8995 

5-8794 

6.8592 

7'8,3?,1 

8.8190 

.3869 

53 

0.9798 

1.9596 

2-9394 

3-9I93 

4.8991 

5-8789 

6.8587 

7.8385 

8.8183 

.3868 

54 
55 
56 

0.9797 
0.9797 
0.9796 

1-9595 
1-9593 
1.9592 

2.9392 
2.9390 
2.9387 

3.9189 
3-9186 
3.918' 

4^8983 
4.8979 

5-8784 
5-8779 
5-8775 

6.8581 
6.8576 
6.8570 

7.8379 
7.8372 
7-8366 

8.8176 
8.8169 
8.8162 

.3868 
.3867 
.3866 

11 

n 

0.9795 
0.9794 
0.9793 
0.9793 

1-9590 
1.9588 
1.9587 
1.9585 

2.9385 
2.9383 
2.9380 
2.9378 

3  .  9i8c 
3-9177 
3-9173 
3.9170 

4-8975 
4.8971 
4.8967 
4-8963 

5-8770 
5-8765 
5.8760 
5-8755 

6.8565 
6.8559 
6.8554 
6.8548 

7-8360 
7.8353 
7.8347 
7.8341 

8.8155 
8.8148 
8.8140 
8.8133 

.3866 
.3865 
1.3865 
1.3864 

HEIGHTS. 


7° 


1 

2 

3 

4 

5 

6 

7 

8 

9 

b 

t 

0.1208 

0.2416 

0.3624 

0.4832 

0.6040 

0.7247 

0.8455 

0.9663 

.0871 

0.1706 

oo 

O.I2II 

0.2421 

0.3632 

0.4843 

0.6054 

0.7264 

0.8475 

0.9686 

.0896 

0.1710 

01 

O.I2I4 

0.2427 

0.3641 

0.4854 

0.6068 

0.7281 

0.8495 

0.9709 

.0922 

0.1714 

02 

0.1216 

0.2433 

0.4866 

0.6082 

0.7298 

0.8515 

0-9731 

.0948 

0.1718 

03 

0.1219 

0.2438 

0.3658 

0.4877 

0.6096 

o.73i5 

0.8534 

0-9754 

•0973 

0.1722 

04 

0.1222 

0.2444 

o  .  3666 

0.4888 

0.6110 

0.7332 

0.8554 

0.9776 

.0998 

0.1726 

05 

0.1225 

0.2450 

0.3674 

0.4899 

0.6124 

0-7349 

0.8574 

0.9798 

.1023 

0.1730 

06 

0.1228 

0.2455 

0.3683 

0.4910 

0.6138 

0.7366 

0.8593 

0.9821 

.1048 

0.1734 

07 

0.1230 

0.2461 

0.3691 

0.4922 

0.6152 

0.7383 

0.8613 

0.9843 

.1074 

0.1738 

08 

0.1233 

0.2467 

0.3700 

0.4933 

0.6166 

0.7400 

0.8633 

0.9866 

.1100 

0.1743 

09 

0.1236 

0.2472 

0.3708 

0.4944 

0.6180 

o.74i7 

0.8653 

0.9889 

.1125 

0.1747 

IO 

0.1239 

0.2478 

o.37i7 

0.4956 

0.6194 

0-7433 

0.8672 

0.9911 

.1150 

0.1751 

11 

0.1242 

0.2483 

0.3725 

0.4967 

0.6209 

o.745o 

0.8692 

0-9934 

.1175 

0.1755 

12 

0.1245 

0.2489 

0-3734 

0.4978 

0.6223 

0.7467 

0.8712 

0.9956 

.1201 

0.1759 

13 

0.1247 

0.2495 

0.3742 

0.4989 

0.6237 

0.7484 

0.8731 

0.9978 

.1226 

0.1763 

14 

0.1250 

0.2500 

o.375o 

0.5000 

0.6251 

0.7501 

0.8751 

.0001 

.1251 

0.1767 

15 

0.1253 

0.2506 

0.3759 

0.5012 

o  .  6265 

0.7518 

0.8771 

.0024 

.1277 

0.1771 

16 

0.1256 

0.2512 

0.3767 

0.5023 

o  .  6279 

0.7535 

0.8791 

.0046 

.1302 

0.1775 

17 

0.1259 

0.2517 

0.3776 

0.5034 

0.6293 

0.7552 

0.8810 

.0069 

.1327 

0.1779 

18 

O.I26I 

0.2523 

0.3784 

0.5046 

0.6307 

0.7568 

0.8830 

.0091 

•1353 

0.1783 

19 

0.1264 

0.2528 

0-3793 

0.5057 

0.6321 

0.7585 

0.8849 

.0114 

•  1378 

0.1787 

20 

0.1267 

0.2534 

0.3801 

0.5068 

0.6335 

0.7602 

0.8869 

.0136 

.1403 

0.1791 

21 

0.1270 

0.2540 

0.3809 

0.5079 

0.6349 

0.7619 

o  .  8889 

.0158 

.1428 

0.1795 

22 

0.1273 

0.2545 

0.3818 

0.5090 

0.6363 

0.7636 

0.8908 

.0181 

•  1453 

0.1799 

23 

0.1275 

0.2551 

0.3826 

0.5102 

0.6377 

0.7652 

0.8928 

.0203 

.1479 

0.1803 

24 

0.1278 

0.2556 

0.3835 

0.5113 

0.6391 

o  .  7669 

0.8947 

.0226 

.1504 

0.1807 

25 

e.I28l 

0.2562 

0.3843 

0.5124 

0.6405 

0.7686 

0.8967 

.0248 

.1529 

0.1811 

26 

0.1284 

0.2568 

0.3852 

0.5136 

0.6419 

0.7703 

0.8987 

.0271 

.1555 

0.1815 

27 

0.1287 

0.2573 

o  3860 

0.5147 

0.6433 

0.7720 

0.9007 

.0294 

0.1819 

28 

0.1289 

0.2579 

0^868 

0.5158 

0.6447 

0.7737 

0.9026 

.0316 

.1605 

0.1823 

29 

0.1292 

0.2585 

0.3877 

0.5169 

0.6461 

0-7754 

o  .  9046 

•0338 

.1631 

0.1827 

30 

0.1295 
0.1298 

0.2590 
0.2596 

0.3885 
0.3894 

0.5180 
0.5192 

0:6489 

0.7771 
0.7787 

0.9066 

0.9085 

.0361 

.0383 

.16^6 
.1681 

0.1831 

0.1835 

31 
32 

O.I30I 

0.2601 

0.3902 

0.5203 

0.6503 

0.7804 

0.9105 

.0406 

.1706 

0.1839 

33 

0.1303 

0.2607 

0.3910 

0.5214 

0.6517 

0.7821 

0.9124 

.0428 

.1731 

0.1843 

34 

0.1306 

0.2613 

o  .  39  1  9 

0.5225 

0.6532 

0.7838 

0.9144 

.0450 

.1757 

0.1847 

35 

0.1309 

0.2618 

0.3927 

0.5236 

0.6546 

0.7855 

0.9164 

.0473 

.1782 

0.1852 

36 

O.I3I2 

o  .  2624 

0.3936 

0.5248 

0.6560 

0.7871 

0.9183 

.0495 

.1807 

0.1856 

O.I3I5 

0.2629 

0.3944 

0.5259 

0.6574 

0.7888 

0.9203 

.0518 

.1832 

0.1860 

38 

O.I3I8 

0.2635 

0-3953 

0.5270 

0.6588 

0.7905 

0.9223 

.0540 

.  18^8 

0.1864 

39 

0.1320 

0.2641 

0.3961 

0.5281 

0.6602 

0.7922 

0.9242 

.0562 

.1883 

0.1868 

40 

0.1323 

o  .  2646 

0.3969 

0.5292 

0.6616 

0-7939 

0.9262 

.0585 

.1908 

0.1872 

4i 

0.1326 

0.2652 

o  •  3978 

0.5304 

0.6630 

0-7955 

0.9281 

.0607 

.1933 

0.1876 

42 

0.1329 

0.2657 

o  .  3986 

o.53i5 

o  .  6644 

0.7972 

0.9301 

.0630 

.1958 

0.1880 

43 

0.1332 

o  .  2663 

0.3995 

0.5326 

0.6658 

0.7989 

0.9321 

.0652 

.1984 

0.1884 

44 

0.1334 
0.1337 

0.2669 

0.2674 

0.4003 
0.4011 

0-5337 
0.5348 

0.6672 
0.6686 

0.8006 
0.8023 

0.9340 

o  .  9360 

.0674 
.0697 

.2009 
.2034 

0.1888 
0.1892 

Jl 

0.1340 

0.2680 

0.4020 

0.5360 

0.6700 

0.8039 

0.9379 

.0719 

.2059 

0.1896 

47 

0.1343 

0.2685 

o  .  4028 

0.5371 

0.6714 

0.8056 

0.9399 

.0742 

.2084 

o  .  1900 

48 

0.1346 

0.2691 

0.4037 

0.5382 

0.6728 

0.8073 

0.9415 

.0764 

.2110 

0.1904 

49 

0.1348 

0.2697 

0.4045 

0-5393 

0.6742 

0.8090 

0.9438 

.0786 

•2135 

0.1908 

50 

O.I35I 

0.2702 

0.4053 

0.5404 

0.6756 

0.8107 

0.9458 

.0809 

.2l6o 

0.1912 

5I 

0.1354 

0.2708 

0.4062 

0.5416 

0.6770 

0.8123 

0.9477 

.0831 

.2185 

0.1916 

52 

0.1357 

0.2713 

o  .  4070 

0.5427 

0.6783 

0.8140 

0.9497 

.0854 

.22IO 

o  .  1920 

53 

0.1359 

0.2719 

o  .  4078 

0.5438 

0.6797 

0.8157 

0.9516 

.0876 

•2235 

0.1924 

54 

0.1362 

0.2725 

0.4087 

0.5449 

0.6811 

0.8174 

0.9536 

.0898 

.2261 

0.1928 

55 

0.1365 

0.2730 

0.4095 

0.5460 

0.6825 

0.8191 

0.9556 

.0921 

.2286 

0.1932 

56 

0.1368 

0.2736 

0.4104 

0.5472 

0.6839 

0.8207 

0.9575 

.0943 

.2311 

0.1936 

57 

O.I37I 

0.2741 

0.4112 

0.5483 

0.68^3 

0.8224 

0.9595 

.0966 

•2336 

o  .  1940 

58 

0.1374 

0.2747 

0.4121 

0.5494 

0.6867 

0.8241 

0.9615 

,0988 

.2362 

0.1944 

59 

0.1376 

0.2753 

0.4129 

0.5505 

0.6881 

0.8258 

0.9634 

.1010 

.2387 

0.1948 

60 

8° 


DISTANCES. 


r 

1 

a 

3 

4 

5 

6 

7 

8 

9 

a 

00 

0-9793 

1.9585 

2.9378 

3.9i7o 

4.8963 

5-8755 

6.8548 

7.8341 

8.8133 

.3864 

01 

0.9792 

1.9584 

2.9375 

3-9167 

4.8959 

5.8751 

6.8542 

7.8334 

8.8126 

-3863 

02 

0.9791 

1.9582 

2-9373 

3-9i64 

4.8955 

5.8746 

6.8537 

7-8328 

8.8119 

.3862 

03 

0.9790 

1.9580 

2-9370 

3-9161 

4-8951 

5.8741 

6.8531 

7-8321 

8.8m 

.3862 

04 

0.9789 

1.9579 

2.9368 

3.9I57 

4.8947 

5.8736 

6.8525 

7-8315 

8.8104 

.3861 

05 

0.9789 

1.9577 

2.9366 

3.9154 

4.8943 

5.8731 

6.8520 

7.8308 

8.8097 

.3861 

06 

0.9788 

1.9575 

2.9363 

3.9i5i 

4.8939 

5.8726 

6.8514 

7-8302 

8.8090 

.3860 

07 

0.9787 

1.9574 

2.9361 

3-9148 

4.8935 

5.8722 

6.8508 

8.8082 

.3860 

08 

0.9786 

1.9572 

2.9358 

3.9I44 

4.8931 

5.8717 

6.8503 

7  .  8209 

8.8075 

-3859 

09 

0.9785 

1.9571 

2.9356 

3-9141 

4.8927 

5-8712 

6.8497 

7^8282 

8.8068 

-3859 

10 

0.9785 

1.9569 

2-9354 

3.9138 

4-8923 

5-8707 

6.8492 

7.8276 

8.  8061 

.3858 

ii 

0.9784 

1.9567 

2.9351 

3.9135 

4.8918 

5.8702 

6.8486 

7.8269 

8.8053 

.3858 

12 

0.9783 

1.9566 

2-9349 

3-9131 

4.8914 

5-8697 

6.8480 

7.8263 

8.8046 

13 

0.9782 

1.9564 

2.9346 

3-9128 

4.8910 

5.8692 

6.8474 

7-8256 

8.8038 

3856 

14 

0.9781 

1.9562 

2-9344 

3-9125 

4.8906 

5.8687 

6.8468 

7.8250 

8.8031 

•  3856 

S 

0.9780 
0.9780 

1.9561 

1-9559 

2-9341 
2-9339 

3-9122 

4.8902 
4.8898 

5.8682 
5-8677 

6.8463 
6.8457 

7-8243 
7.8236 

8.8023 
8.  8016 

.3855 
.38^4 

17 

18 

0-9779 
0.9778 

1-9557 
1-9556 

2.9336 
2-9334 

3.9"5 
3-9112 

4.8894 
4.8890 

5-8672 
5.8667 

6.8451 
6.8445 

7.8230 
7.8223 

8.8009 
8.  8001 

.3854 
•  3853 

19 

0.9777 

1-9554 

2-9331 

3.9io8 

4.8885 

5.8662 

6.8440 

7.8217 

8.7994 

-3853 

20 

0.9776 

1-9553 

2.9329 

4.8881 

5-8657 

6.8434 

7.8210 

8.7986 

-3852 

21 

0.9775 

I-955I 

2.9326 

3-9102 

4.8877 

5.8652 

6.8428 

7.8203 

8.7979 

-3852 

22 

0.9775 

1-9549 

2.9324 

3-9098 

4.8873 

5.8647 

6.8422 

7.8197 

8.7971 

-3851 

23 

0.9774 

1-9547 

2.9321 

3.9095 

4.8869 

5.8642 

6.8416 

7.8190 

8.7964 

-3850 

24 

0-9773 

1.9546 

2.9319 

3-90Q2 

4.8864 

5-8637 

6.8410 

7-8183 

8.7956 

-3850 

25 

0.9772 

1-9544 

2.9316 

3-9088 

4.8860 

5-8632 

6.8404 

7.8176 

8.7948 

-3849 

26 

0.9771 

1-9542 

2.9314 

3-9085 

4.8856 

5.8627 

6.8398 

7.8170 

8.7941 

.3849 

27 

0.9770 

I-954I 

2.9311 

3-9081 

4.8852 

5.8622 

6.8393 

7-8163 

8.7933 

-3848 

28 

0.9770 

1-9539 

2.9309 

3.9078 

4.8848 

5.8617 

6.8387 

7.8i56 

8.7926 

-3847 

29 

o  .  9769 

1-9537 

2.9306 

3.9075 

4-8843 

5.8612 

6.8381 

7.8i49 

8.7918 

•  3847 

30 

0.9768 

1.9536 

2.9304 

3.9071 

4-8839 

5.8607 

6.8375 

7.8i43 

8.7911 

.3846 

31 

0.9767 

1-9534 

2.9301 

3-9068 

4-8835 

5.8602 

6.8369 

7-8136 

8.7903 

.3846 

32 

0.9766 

1-9532 

2.9298 

3-9064 

4-8831 

5.8597 

6.8363 

7.8129 

8.7895 

.3845 

33 

0.9765 

I-953I 

2.9296 

3-9061 

4.8826 

5.8592 

6.8357 

7.8122 

8.7887 

-3844 

34 

0.9764 

1.9529 

2.9293 

3.9058 

4.8822 

5.8586 

6.8351 

7.8115 

8.7880 

-3844 

35 

0.9764 

I-9527 

2.9291 

3-9054 

4.8818 

5.8581 

6.8345 

7.8108 

8.7872 

-3843 

36 
37 

0.9763 
0.9762 

I-9525 
1-9524 

2  9288 
2.9285 

3-9051 
3.9047 

4-8813 
4.8809 

5.8576 
5.8571 

6.8339 
6.8333 

7.8102 
7.8095 

8.7864 
8.7856 

-3843 
.3842 

38 

0.9761 

1.9522 

2.9283 

3.9044 

4.8805 

5-8566 

6.8327 

7.8088 

8.7849 

.3841 

39 

0.9760 

I  9520 

2.9280 

3.9040 

4.8801 

5.8561 

6.8321 

7.8081 

8.7841 

-3841 

40 

0.9759 

I.95I9 

2.9278 

3-9037 

4.8796 

5-8556 

6.8315 

7-8074 

8.7833 

.3840 

4i 

0.9758 

I-95I7 

2.9275 

3-9034 

4.8792 

5.8550 

6.8309 

7.8067 

8.7826 

.3840 

42 
43 
44 

0.9758 
0.9757 
0.9756 

I.95I5 
I.95I3 
1.9512 

2.9273 
2.9270 
2.9267 

3-9030 
3.9027 
3-9023 

4.8788 
4-8783 
4.8779 

5-8545 
5.8540 
5-8535 

6.8303 
6.8296 
6.8290 

7.8060 
7-8053 
7.8046 

8.7818 
8.7810 
8.7802 

.3839 
-3838 
-3838 

45 

0-9755 

1.9510 

2.9265 

3.9020 

4.8774 

5-8529 

6.8284 

7-8039 

8.7794 

•  3837 

46 

0-9754 

1.9508 

2.9262 

3-9oi6 

4.8770 

5-8524 

6.8278 

7.8032 

8.7786 

.3837 

47 

0-9753 

1.9506 

2.9259 

3-9013 

4.8766 

5.8519 

6.8272 

7-8025 

8.7778 

•3836 

48 

0.9752 

1.9505 

2.9257 

3.9009 

4.8761 

6.8266 

7.8018 

8.7770 

.3835 

49 

o.975i 

1-9503 

2.9254 

3-9006 

4.8757 

5  '8508 

6.8260 

7.8011 

8.7763 

.3835 

50 

0.9751 

1.9501 

2.9252 

3.9002 

4-8753 

5-8503 

6.8254 

7.8004 

8.7755 

.3834 

5t 

0.9750 

1-9499 

2.9249 

3.8999 

4.8748 

5.8498 

6.8247 

7-7997 

8.7747 

.3834 

52 

0.9749 

1-9497 

2.9246 

3.8995 

4.8744 

6.8241 

7-7990 

8-7739 

.3833 

53 

0.9748 

1.9496 

2.9244 

3.8991 

4.8739 

5!  8487 

6.8235 

7-7983 

8.7731 

-3832 

54 

0-9747 

1.9494 

2.9241 

3.8988 

4-8735 

5.8482 

6.8229 

7-7976 

8.7723 

-3832 

55 

0.9746 

1.9492 

2.9238 

3-8984 

4.8730 

5.8476 

6.8222 

7.7969 

8.7715 

-3831 

56 

0-9745 

1.9490 

2.9236 

3.8981 

4.8726 

5-8471 

6.8216 

7.7961 

8.7707 

-3831 

1? 

0-9744 
0.9743 

I.94»9 
1.9487 

2.9233 
2.9230 

3-8977 
3.8974 

4.8721 
4.8717 

5.8466 
5.8460 

6.8210 
6.8204 

7-7954 
7-7947 

8.7699 
8.76Q1 

.3830 
.3829 

g 

0.9743 
0.9742 

1.9485 
1.9483 

2.9228 
2.9225 

3-8970 
3-8966 

4-8713 
4.8708 

5.8455 
5.8450 

6.8198 
6.8191 

7-7Q4Q 
7-7933 

8.7683 
8.7675 

.3829 

.3828 

HEIGHTS. 


1 

2, 

3 

4 

5 

6 

7 

8 

9 

b 

r 

0.1376 
0.1379 

0.2753 
0.2758 

0.4129 
0.4137 

o.55o5 
0.5516 

0.6881 
0.6895 

0.8258 
0.8275 

0.9634 
0.9654 

.1010 

•1033 

.2387 

.2412 

0.1948 
0.1952 

00 
01 

0.1382 

0.2764 

0.4145 

0.5527 

0.6909 

0.8291 

0.9673 

•  1055 

•2437 

0.1956 

02 

0.1385 

0.2769 

0.4154 

0.5538 

0.6923 

0.8308 

0.9692 

•  1077 

.2462 

0.1960 

03 

0.1387 

0.2775 

0.4162 

o.555o 

0.6937 

0.8324 

0.9712 

.1099 

.2487 

0.1965 

04 

0.1390 

0.2780 

0.4171 

0.5561 

0.6951 

0.8341 

0.9731 

.1122 

.2512 

0.1969 

05 

0.1393 
Q.I396 

0.2786 
0.2792 

0.4179 
0.4187 

0.5572 
0.5583 

0.6965 
0.6979 

0.8358 
0.8375 

0.9751 
0.9771 

;"$ 

•2537 

0.1973 
o.i977 

06 
07 

Q.I399 
0.1401 

0.2797 
0.2803 

0.4196 
0.4204 

0.5594 
0.5606 

0.6993 
0.7007 

0.8392 
0.8408 

0.9790 
0.9810 

!ii8g 

.1211 

'2587 
.2613 

0.1981 
0.1985 

08 
09 

0.1404 

0.2808 

0.4213 

0.5617 

0.7021 

0.8425 

0.9829 

.1234 

.2638 

o.1989 

IO 

0.1407 

0.2814 

0.4221 

0.5628 

0.7035 

0.8441 

0.9849 

.1256 

.2663 

0.1993 

II 

0.1410 

0.2819 

o  .  4229 

0.5639 

0.7049 

0.8458 

0.9868 

.1278 

.2688 

0.1997 

12 

0.1413 

0.2825 

0.4238 

0.5650 

0.7063 

0.8475 

0.9888 

.1300 

•2713 

0.2001 

13 

O.I4I5 

0.2831 

0.4246 

0.5661 

0.7077 

0.8492 

0.9907 

.1322 

•  2738 

0.2O05 

14 

0.1418 

0.2836 

0.4254 

0.5672 

0.7091 

0.8509 

0.9927 

•1345 

.2763 

0.2009 

15 

0.1421 

0.2842 

0.4263 

0.^684 

0.7104 

0.8525 

0.9946 

.1367 

.2788 

0.2013 

16 

0.1424 

0.2847 

0.4271 

0.5695 

0.7118 

0.8542 

0.9966 

•1390 

.2813 

O.2OI7 

17 

0.1426 

0.2853 

0.4279 

0.5/06 

0.7132 

0.8558 

0.9985 

.1412 

.2838 

0.2021 

18 

0.1429 

0.2858 

0.4288 

0.5717 

0.7146 

0.8575 

1.0005 

•1434 

.2863 

o  .  2025 

19 

0.1432 

0.2864 

0.4296 

0.5728 

0.7160 

0.8592 

1.0024 

.1456 

.2888 

0.2029 

20 

0.1435 

0.2870 

0.4304 

0-5739 

0.7174 

0.8609 

1.0044 

.1478 

.2913 

0.2033 

21 

0.1438 

0.2875 

0-5750 

0.7188 

o  8626 

1.0063 

.ISO! 

.2938 

0.2037 

22 

0.1440 

0.2881 

0.4321 

0.5762 

0.7202 

0^8642 

1.0083 

.1523 

•2963 

0.2041 

23 

0.1443 

0.2886 

0.4329 

0-5773 

0.7216 

o.86=;9 

I.  0102 

•1545 

.2988 

0.2045 

24 

0.1446 

0.2892 

0-4338 

0-5784 

0.7230 

0.8675 

I.  0121 

•3OI3 

0.2049 

25 

0.1449 

0.2897 

0.4346 

0-5795 

0.7243 

0.8692 

I.OI4I 

'l590 

•3038 

0.2053 

26 

0.1451 

0.2903 

0-4354 

0.5806 

0.7257 

0.8709 

I.  0160 

.l6l2 

.3063 

0.2057 

27 

0.14^4 

0.2909 

0.4363 

0.5817 

0.7271 

0.8726 

I.0l8o 

.1634 

.3088 

0.2061 

28 

0.1457 

0.2914 

0-4371 

0.5828 

0.7285 

0.8742 

I.OIQ9 

.1656 

•  3"3 

0.2065 

29 

0.1460 

o  .  2920 

0-4379 

0.5839 

0.7299 

0.8759 

I.02I9 

.1678 

.3138 

0.2069 

30 

0.1463 

0.2925 

0.4388 

0.5850 

0.731.3 

0.8776 

1.0238 

.1701 

.3163 

0.2073 

31 

0.1465 

0.2931 

0.4396 

0.5862 

0.7327 

0.8792 

1.0258 

•1723 

.3188 

0.2077 

32 

0.1468 

0.2936 

0.4404 

0.5873 

o.734i 

0.8809 

1.0277 

•  1745 

.3213 

0.2081 

33 

0.1471 

0.2942 

0.4413 

0.5884 

0.7355 

0.8825 

1.0296 

.1767 

•3238 

0.2085 

34 

0.1474 

0.2947 

0.4421 

0-5895 

0.7368 

0.8842 

I.03I6 

.1790 

•3263 

0.2089 

35 

0.1476 

0.2953 

0.4429 

0.^906 

0.7382 

o.88;g 

1-0335 

.1812 

.3288 

0.2093 

36 

0.1479 
0.1482 

0.2958 
0.2964 

0.4438 
0.4446 

0.5917 
0.5928 

0.7396 
0.7410 

0.8875 
0.8892 

1-0355 
1.0374 

.1834 
.1856 

.3313 

0.2097 

0.2IOI 

i 

0.1485 

o  .  2970 

0-4454 

0-5939 

0.7424 

o  .  8909 

1.0394 

.1878 

.3363 

0.2105 

39 

0.1488 

0.2975 

0.4463 

o.595o 

0.7438 

0.8926 

1.0413 

.1901 

.3388 

0.2IIO 

40 

0.1490 

0.2981 

0.4471 

0.5961 

0.7452 

0.8942 

1.0432 

•  1923 

•3413 

0.2114 

41 

0.1493 

0.2986 

0.4479 

0.5972 

0.7466 

0.8959 

1.0452 

•  1945 

•3438 

0.2118 

42 

0.1496 

0.2992 

0.4488 

0.5984 

0.7479 

0.8975 

1.0471 

.1967 

.3463 

0.2122 

43 

0.1499 

0.2997 

0.4496 

0-7493 

0.8992 

1.0491 

.1989 

.3488 

0.2126 

44 

O.I^OI 

0.3003 

0.4504 

0.6006 

0.7507 

0.9008 

1.0510 

.2011 

•  3513 

0.2130 

45 

0.1504 

0.3008 

0.6017 

0.7521 

0.9025 

1.0529 

.2034 

•3538 

0.2134 

46 

0.1507 

0.3014 

0^4521 

0.6028 

0.7535 

0.9042 

1.0549 

.2056 

•3563 

0.2138 

47 

0.1510 
0.1513 

0.3019 

0.3025 

0.4529 
0.4538 

0.6039 
0.6050 

0.7549 
0.7^63 

0.9058 
0.9075 

1.0568 
1.0588 

.2078 
.2100 

.3588 
.36r3 

0.2142 
0.2146 

48 
49 

0.1515 

0.3031 

0.4546 

0.6061 

0.7576 

0.9092 

1.0607 

.2122 

.3638 

0.2150 

50 

0.1518 

0.3036 

0.4554 

0.6072 

0.7590 

0.9108 

1.0626 

.2144 

.3662 

0.2154 

5l 

0.1521 

0.3042 

0.4562 

0.6083 

0.7604 

0.9125 

1.0646 

.2166 

.3687 

0.2158 

52 

0.1524 

0.3047 

0.4571 

0.6094 

0.7618 

0.9142 

1.0665 

.2189 

•  3712 

0.2l62 

53 

0.1526 

0.3053 

0-4579 

0.6105 

0.7632 

0.9158 

1.0684 

.2211 

•3737 

0.2166 

0.1532 

0.3058 

0.3064 

0.4587 
0.4596 

0.6116 
0.6128 

0.7646 
0.7660 

0.9175 
0.9191 

1.0704 
1.0723 

-2233 
•2255 

.3762 
.3787 

0.2170 
0.2174 

i 

o.  1^35 

0.3069 

0.4604 

0.6139 

0.7673 

0.9208 

1.0742 

.2277 

.3812 

0.2178 

57 

0.1537 

0.3075 

0.4612 

0.6150 

0.7687 

0.9224 

1.0762 

.2299 

.3837 

0.2182 

58 

0.1540 

0.3080 

0.4621 

0.6161 

0.7701 

0.9241 

1.0781 

.2321 

.3862 

0.2186 

59 

0.1543 

0.3086 

0.4629 

0.6172 

0.7715 

0.9257 

1.0800 

1.2343 

.3886 

0.2190 

60 

DISTANCES. 


F 

1 

2 

3 

4 

5 

6 

7 

8 

9 

a 

00 

0-9742 

.9483 

2.9225 

3-8966 

4.8708 

.8450 

6.8191 

7933 

8.7675 

1.3828 

01 

02 

0.9741 
0.9740 

.9481 
.9480 

2.9222 
2.9219 

3-8963 
3.8959 

4.8704 
4.8699 

.8444 
.8439 

6.8185 
6.8179 

.7926 

8.7666 
8.7658 

1.3827 
1.3826 

03 

0-9739 

.9478 

2.9217 

3-8956 

4.8695 

.8433 

6.8172 

•  7911 

8.7650 

1.3826 

04 

0.9738 

•  9476 

2.9214 

3-8952 

.8428 

6.  8166 

•  7904 

8.7642 

1.3825 

0-9737 

•9474 

2.9211 

3-8948 

4  .  8686 

.8423 

6.8160 

.7897 

1.3825 

06 

0.9736 

.9472 

2.9209 

3-8945 

4.8681 

.8417 

6.8153 

.7800 

8  .  7626 

i.§5 

07 

0-9735 

•9471 

2  .  9206 

3-8941 

4.8676 

.8412 

6.8147 

.7882 

8.7618 

1-3824 

08 

0-9734 

.9469 

2.9203 

3-8938 

4.8672 

.8406 

6.8141 

.7875 

8.7609 

1.3823 

09 

0-9733 

.9467 

2  .  920O 

3-8934 

4-8667 

.8401 

6.8134 

.7868 

8.7601 

1.3822 

10 

0.9733 

.9465 

2.9198 

3-8930 

4.8663 

•  8395 

6.8128 

.7861 

8-7593 

1.3821 

ii 

0-9732 

.9463 

2.9195 

3-8927 

4.8658 

.8390 

6.8122 

.7853 

8.7585 

1.3821 

12 

o.973i 

.9461 

2.9IQ2 

3-8923 

4.8654 

.8384 

6.8115 

.7846 

8.7577 

1.3820 

13 
14 

o.973o 
0.9729 

.9460 
•9458 

2.9189 
2.9187 

3-8919 
3-8916 

4.8649 
4.8644 

.8379 
•  8373 

6.8109 
6.8102 

.7838 
•  7831 

8.7568 
8.756o 

1.3819 
1.3819 

15 

0.9728 

•  9456 

2.9184 

3-8912 

4.8640 

.8368 

6.8096 

.7824 

8.7552 

1.3818 

16 

0.9727 

•9454 

2.9l8l 

3-8908 

4.8635 

.8362 

6.8089 

.7816 

8-7543 

1.3818 

11 

0.9726 
0.9725 

•9452 
.9450 

2.9178 
2.9176 

3-8904 
3-8901 

4-8631 
4.8626 

•§357 
.8351 

6.8083 
6.8076 

.7809 
.7802 

8-7535 
8.7527 

1.3817 
1.3816 

19 

0.9724 

•9449 

2.9173 

3-8897 

4.8621 

•  8346 

6.8070 

7-7794 

8.7518 

1.3816 

20 

0.9723 

.9447 

2.9170 

3.8893 

4.8617 

.8340 

6.8063 

7.7787 

8.7510 

1.3815 

21 

0.9722 

•  9445 

2.9167 

3.8800 

4.8612 

•  8334 

6.8057 

7-7779 

8.7502 

1.3814 

22 

0.9721 

•9443 

2.9164 

3.8886 

4.8607 

•  8329 

6.8050 

7-7772 

8-7493 

1.3814 

23 

0.9721 

.9441 

2.9162 

3.8882 

4.8603 

.8323 

6.8044 

7.7764 

8.7485 

1-3813 

24 

0.9720 

•9439 

2.9159 

3-8878 

4.8598 

.8318 

6.8037 

7-7757 

8.7476 

1.3813 

25 

0.9719 

•9437 

2.9156 

3-8875 

4.8593 

.8312 

6.8031 

7-7749 

8.7468 

1.3812 

26 

0.9718 

•  9435 

2.9153 

4.8589 

.8306 

6.802A 

7-7742 

8.7460 

1.3811 

27 

0.9717 

•9434 

2.9150 

318867 

4.8584 

5-8301 

6.  8018 

7-7734 

8.7451 

1.3811 

28 

0.9716 

•  9432 

2.9148 

3'8*63 

4-8579 

5-8295 

6.  Son 

7.7727 

8.7443 

1.3810 

29 

0.9715 

•9430 

2.9145 

3.8860 

4-8575 

5.8200 

6.8004 

7.7719 

8-7434 

1.3810 

30 

0.9714 

.9428 

2.9142 

3.8856 

4.8570 

5.8284 

6.7998 

7.7712 

8.7426 

1.3809 

31 

0.9713 

.9426 

2.9139 

3.8852 

4-8565 

5.8278 

6.7991 

7.7704 

8.7417 

1.3808 

32 

0.9712 

.9424 

2.9136 

3.8848 

4.8560 

5.8272 

6.7984 

7.7697 

8.7409 

1.3808 

33 

0.9711 

•  9422 

2.9133 

3.8844 

4.8556 

5.8267 

6  •  7978 

7  .  7689 

8.7400 

1.3807 

34 

0.9710 

.9420 

2.9130 

3-884I 

4.8551 

5.8261 

6.7971 

7.7681 

8.7391 

1.3806 

0.9700 

.9418 

2.9128 

3.8837 

4-8546 

5.8255 

6.7964 

7.7674 

8.73»3 

1.3806 

36 

0.9708 

•  9417 

2.9125 

3.8833 

4.8541 

5-8250 

6.7958 

7.7666 

8.7374 

1.3805 

37 

0.9707 

•  9415 

2.9122 

4-8537 

5.8244 

6.7951 

7.7658 

8.7366 

1.3804 

38 

0.9706 

•  9413 

2.9119 

3  18825 

4-8532 

5-8238 

6.7944 

7.7651 

8.7357 

1.3804 

39 

0.9705 

.9411 

2.9II6 

3.8822 

4-8527 

5-8232 

6.7938 

7.7643 

8-7349 

1.3803 

40 

0.9704 

.9409 

2.9II3 

3.8818 

4.8522 

5.8227 

6.7931 

7-7636 

8.7340 

1.3802 

4i 

0.9703 

.9407 

2.9IIO 

3.8814 

4.8517 

5.8221 

6.7924 

7.7628 

8-7331 

1.3802 

42 

0.9703 

.9405 

2.9108 

3-8810 

4.8513 

5.8215 

6.7918 

7.7620 

8.7323 

1.3801 

43 

0.9702 

.9403 

2.9105 

3.8806 

4.8508 

5.8209 

6.79H 

7.7612 

8.73M 

1.3800 

44 

0.9701 

.9401 

2.9102 

3.8802 

4-8503 

5.8203 

6.7904 

7.7604 

8.7305 

1-3799 

45 

o  .  9700 

•9399 

2.0099 

3.8798 

4.8498 

5-8198 

6.7897 

7-7597 

8.7296 

1-3799 

46 

0.9699 

•  9397 

2.9096 

3.8794 

4.8493 

5.8192 

6.7890 

7.7589 

8.7288 

1.3798 

47 

0.9698 

-9395 

2.9093 

3-879I 

4.8488 

5.8186 

6.7884 

7.758i 

8.7279 

1-3797 

48 

0.9697 

•  9393 

2.9090 

3.8787 

4-8483 

5.8180 

6.7877 

7-7573 

8.7270 

1-3797 

49 

0.9696 

•  9391 

2.9087 

3.8783 

4.8479 

5.8i74 

6.7870 

7-7566 

8.7261 

I.3796 

50 

0.9695 

•9389 

2.9084 

3-8779 

4.8474 

5.8168 

6.7863 

7-7558 

8.7253 

1-3795 

5, 

0.9694 

•  9388 

2.9081 

3-8775 

4.8469 

5.8163 

6.7856 

7.7550 

8.7244 

1-3795 

52 

0.9693 

•  9386 

2.9078 

3-8771 

4.8464 

5.8i57 

6.7849 

7.7542 

8.7235 

1-3794 

53 

0.9692 

•9384 

2.9075 

3.8767 

5.8151 

6.7843 

7-7534 

8.7226 

1-3793 

54 

0.9691 

-9382 

2.9072 

3-8/63 

t§454 

5.8145 

6.7836 

7.7526 

8.7217 

1-3792 

55 

0.9690 

.938o 

2.9069 

4  8449 

5-8i39 

6.7829 

7.7519 

8.7208 

1.3792 

56 

o  .  9689 

•9378 

2.9066 

3  '-875  5 

4.8444 

5.8i33 

6.7822 

7-75II 

8.7199 

I-379I 

1 

019687 

-9376 
•9374 

2.9064 
2.9061 

3.8751 
3-8747 

4.8439 
4.8434 

5.8127 
5.8121 

6.7815 
6.7808 

7.7503 
7-7495 

8.7191 
8.7182 

1-3790 
1.3789 

0.9686 
0.9685 

•9372 
•  9370 

2.9058 
2.9055 

3-8744 
3.8740 

4.8429 
4.8424 

5.8115 
5.8109 

6.7801 
6.7794 

7.7487 
7-7479 

8.7173 
8.7164 

HEIGHTS. 


1 

2, 

3 

4 

5 

6 

7 

8 

9 

b 

r 

0.1543 

0.3086 

0.4629 

0.6172 

o.77i5 

0.9257 

.0800 

•  2343 

.3886 

0.2190 

00 

0.1546 

0.3091 

0.4637 

0.6183 

0.7729 

0.9274 

.0820 

.2365 

•3911 

0.2194 

01 

0.1548 

0.3097 

0.4645 

0.6194 

0.7742 

0.9290 

•  0839 

•  2387 

•  3936 

0.2198 

02 

0.1551 

0.3102 

0.4654 

o  .  6205 

0.7756 

0.9307 

.0858 

.2410 

.3961 

0.22O2 

03 

0.1554 

0.3108 

0.4662 

0.6216 

0.7770 

0.9324 

.0878 

.2432 

•  3986 

0.2206 

04 

0.1557 

o.3"3 

o  .  4670 

0.6227 

0.7784 

0.9340 

.0897 

.2454 

.4010 

O.22IO 

05 

0.1559 

0.3119 

0.4678 

0.6238 

0.7797 

0-9357 

.0916 

.2476 

•  4035 

0.2214 

06 

0.1562 

0.3124 

0.4687 

o  .  6249 

0.7811 

0-9373 

.0936 

.2498 

.4060 

O.22l8 

07 

0.1565 

0.3130 

0.4695 

o  .  6260 

0.7825 

0.9390 

-0955 

.2520 

.4085 

0.2222 

08 

0.1568 

0.3136 

0.4703 

0.6271 

o.7§39 

0.9407 

.0975 

.2542 

.4110 

0.2226 

09 

0.1571 

0.3141 

0.4712 

0.6282 

0.7853 

0.9423 

.0994 

.2564 

•4135 

0.2230 

10 

0.1573 

0.3147 

0.4720 

0.6293 

0.7866 

0.9440 

.1013 

.2586 

.4160 

0.2234 

II 

0.1576 

0.3152 

0.4728 

0.6304 

0.7880 

0.9456 

.1032 

.2608 

.4184 

0.2238 

12 

0.1579 

0.1582 

0.3158 
0.3163 

0.4736 
0.4745 

0.6315 
0.6326 

0.7894 
0.7908 

0-9473 
0.9489 

.1052 
.1071 

.2630 
.2652 

.4209 
•  4234 

0.2242 
0.2246 

13 
14 

0.1584 

0.3169 

0-4753 

0.6337 

0.7922 

0.9506 

.1090 

.2674 

O.2250 

15 

0.1587 

o.3i74 

0.4761 

0.6348 

0.7935 

0.9523 

.IIIO 

.2697 

.4284 

0.2254 

16 

0.1590 

0.3180 

0.4769 

0.6359 

0.7949 

0-9^39 

.1129 

.2719 

.4308 

O.2258 

i7 

0.1593 

0.3185 

0.4778 

o  .  6370 

0.7963 

0.9556 

.1148 

.2741 

•  4333 

O.2262 

18 

0.1595 

0.3191 

0.4786 

0.6381 

0.7977 

0.9572 

.1167 

.2763 

•435» 

0.2266 

19 

0.1598 

0.3196 

0-4794 

0.6392 

o.799i 

0.9589 

.1187 

.2785 

0.2270 

20 

0.1601 

0.3202 

0.4802 

o  .  6403 

0.8004 

0.9605 

.1206 

.2807 

.4407 

0.2274 

21 

0.1604 

0.3207 

0.4811 

0.6414 

0.8018 

0.9622 

.1225 

.2829 

•  4432 

0.2278 

22 

0.1606 

0.3213 

0.4819 

0.6425 

0.8032 

0.9638 

.1244 

.2851 

•  4457 

o  .  2282 

23 

0.1609 

0.3218 

0.4827 

0.6436 

0.8046 

0.9655 

.1264 

.2873 

.4482 

0.2287 

24 

0.1612 

0.3224 

0.4835 

0.6447 

0.8059 

0.9671 

.1283 

.2895 

.4506 

0.2291 

25 

0.1615 

0.3229 

0.4844 

0.6458 

0.8073 

0.9688 

.1302 

•  2917 

•4531 

0.2295 

26 

0.1617 

0.3235 

o.4S=;2 

o  .  6469 

0.8087 

0.9704 

.1321 

•  2939 

•  4556 

0.2299 

27 

0.1620 

0.3240 

0.4860 

0.6480 

0.8100 

0.9721 

.1341 

.2961 

•458i 

0.2303 

28 

0.1623 

0.3246 

0.4868 

0.6491 

0.8114 

0.9737 

.1360 

•  2983 

.4605 

0.'2307 

29 

0.1626 

0.3251 

0.4877 

0.6502 

0.8128 

0.9754 

•1379 

.3005 

.4630 

0.23II 

30 

0.1628 

0.3257 

0.4881; 

0.6513 

0.8142 

0.9770 

.1398 

.3027 

.4655 

0.2315 

31 

0.1631 

0.3262 

0.4893 

0.6524 

0.8155 

0.9787 

.1418 

•  3049 

.4680 

0.2319 

32 

0.1634 
0.1637 

0.3268 
0.3273 

0.4901 
0.4910 

0.6535 
0.6^46 

0.8169 
0.8183 

0.9803 
0.9819 

.1437 
.1456 

.3071 
.3092 

•  4704 
•  4729 

0.2323 
0.2327 

33 
34 

0.1639 
0.1642 

0.3279 
0.3284 

0.4918 
0.4926 

0.6557 
0.6568 

0.8196 
0.8210 

0.9836 
0.9852 

•1475 
.1494 

•  3114 
•  3136 

•  4754 
•  4778 

0.2331 
0.2335 

i 

0.1645 

0.3290 

0.4934 

0.6579 

0.8224 

0.9869 

.1514 

•  3158 

.4803 

0.2339 

37 

0.1648 

0.3295 

0.4943 

0.6300 

0.8238 

0.9885 

•1533 

.3180 

.4828 

0.2343 

38 

0.1650 

0.3301 

o.495i 

0.6601 

0.8251 

0.9902 

.1552 

.3202 

.4853 

0.2347 

39 

0.1653 

0.3306 

0-4959 

0.6612 

0.8265 

0.9918 

.1571 

.3224 

.4877 

0.2351 

40 

0.1656 

0.33" 

0.4967 

0.6623 

0.8279 

0.9934 

.1590 

.3246 

•  4901 

0.2355 

4i 

0.1658 

o.33i7 

0.4975 

0.6634 

0.8292 

0.9951 

.1609 

.3268 

.4926 

0.2359 

42 

0.1661 

0.3322, 

0.4984 

0.6645 

0.8306 

0.9967 

.1629 

.3290 

.4951 

0.2363 

43 

0.1664 

0.3328 

0.4992 

0.6656 

0.8320 

0.9984 

.1648 

•  3312 

•  4976 

0.2367 

44 

0.1667 

0-3333 

0.5000 

0.6667 

0.8334 

I.OOOO 

.1667 

•3334 

.5000 

0.2371 

45 

0.1669 

0-3339 

0.5008 

0.6678 

0.8347 

I.  0016 

.1686 

•3356 

.5025 

0.2375 

46 

0.1672 

0.3344 

0.5017 

0.6689 

0.8361 

1.0033 

.1705 

•3378 

.5050 

0.2379 

47 

0.1675 

0-3350 

0.5025 

o  .  6700 

0.8375 

1.0049 

.1724 

•3399 

•  5074 

0.2383 

48 

0.1678 
0.1680 

0-3355 
0.3361 

0.5033 
0.5041 

0.6711 
o  .  6722 

0.8388 
o  .  8402 

1.0066 
1.0082 

.1743 
•  1763 

.3421 
•3443 

.5098 
.5123 

0.2387 
0.2391 

49 
50 

0.1683 

0.3366 

0.5049 

0.6732 

0.8416 

1.0099 

.1782 

.3465 

.5148 

0.2395 

5i 

0.1686 

0.3372 

0.5057 

0.6743 

0.8429 

1.0115 

.  1  80  1 

.3487 

.5172 

0.2399 

52 

0.1689 
0.1691 

0-3377 
°'33§§ 

0.5066 
0.5074 

0.6754 
0.6765 

0.8443 
0.8457 

1.0132 

1.0148 

.1820 
.1839 

•3509 
•3531 

.5197 
.5222 

0.2403 
0.2407 

53 

54 

0.1694 

0.3388 

0.5082 

0.6776 

o  .  8470 

1.0165 

.1859 

•  3553 

.5247 

0.2411 

55 

0.1697 

0-3394 

0.5090 

0.6787 

0.8484 

1.0181 

.1878 

•  3574 

•  5271 

0.2415 

56 

0.1700 

0-3399 

0.5099 

0.6798 

0.8498 

1.0197 

•  1897 

.5296 

0.2419 

57 

0.1702 

0.3404 

0.5107 

0.6809 

0.8511 

1.0213 

.1916 

[3618 

.5320 

0.2423 

58 

0.1705 

0.3410 

0.5115 

0.6820 

0.8525 

1.0230 

•1935 

.3640 

•  5345 

0.2427 

59 

0.1708 

0.3415 

0.5123 

0.6831 

0.8539 

1.0246 

.1954 

.3662 

•5369 

0.2431 

60 

10' 


DISTANCES. 


f 

1 

a 

3 

4 

5 

6 

7 

8 

9 

a 

oo 

0.9685 

1.9370 

2.9055 

3.8740 

4.8424 

5.8109 

6.7794 

7-7479 

8.7164 

3788 

01 

0.9684 

1.9368 

2.9052 

3.8736 

4.8419 

5-8103 

•  77^7 

7-7471 

8.7155 

3787 

02 

0.9683 

1.9366 

2.9049 

3-8732 

4.8414 

5-8097 

[7780 

7.7463 

8.7146 

3786 

03 

0.9682 

1.9364 

2.9046 

3-8728 

4.8409 

•  7773 

7-7455 

8.7137 

•3786 

04 

0.9681 

1.9362 

2.9043 

3-8724 

4.8404 

5  .  8085 

.7766 

7-7447 

8.7128 

.3785 

05 

0.9680 

1.9360 

2.9040 

3-8720 

4.8399 

5.8079 

-7759 

7-7439 

8.7119 

-3784 

06 

0.9679 

1.9358 

2.9037 

3-87J6 

4-8.394 

5.8073 

-7752 

7-7431 

8.7110 

•3783 

07 

0.9678 

1.9356 

2.9034 

3-8712 

4.8389 

5.8o67 

-7745 

7.7423 

8.7101 

.3783 

08 

0.9677 

1.9354 

2.9031 

3-8707 

4.8384 

5.8061 

-7738 

7.7415 

8.7092 

.3782 

09 

0.9676 

1.9352 

2.9028 

3-8703 

4-8379 

5.8055 

-7731 

7.7407 

8.7083 

.378i 

10 

0.9675 

1-9350 

2.9025 

3-8699 

4.8374 

5.8049 

.7724 

7-7399 

8.7074 

.3780 

II 

0.9674 

1.9348 

2.9022 

3.8695 

4-8369 

5.8043 

.7717 

7-7391 

8.7065 

.3780 

12 

0.9673 

1.9346 

2.9019 

3  8691 

4-8364 

5.8037 

.7710 

7.7383 

8.7056 

•3779 

13 

0.9672 

1.9344 

2.9015 

3-8687 

4.8159 

5.8031 

•  7703 

7-7375 

8.7046 

-3778 

14 

0.9671 

1.9342 

2.9012 

3-8683 

4-8354 

5.8025 

.7696 

7-7366 

8.7037 

•3777 

15 

1-9340 

2.9009 

3-8679 

4-8349 

5.8019 

7689 

7.7358 

8.7028 

-3776 

16 

1.9338 

2.9006 

3-8675 

4.8344 

5.8013 

^7681 

7-7350 

8.7019 

-3776 

17 

1.9336 

2.9003 

3-8671 

4.§339 

5.8007 

.7674 

7-7342 

8.7010 

•3775 

18 

0.9667 

1-9333 

2.9000 

3-8667 

4.8334 

5.8000 

.7667 

7-7334 

8.7001 

•  3774 

19 

0.9666 

I-  933i 

2.8997 

3-8663 

4.8329 

5-7994 

6.7660 

7.7326 

8.6991 

•3773 

20 

0.9665 

1.9329 

2.8994 

3.8659 

4-8324 

5.7988 

6.7653 

7.73i8 

8.6982 

•3773 

21 

0.9664 

1.9327 

2.8991 

3-8655 

4-8318 

5.7982 

6.7646 

7.7309 

8.6973 

•  3772 

22 

0.9663 

1-9325 

2.8988 

3-8651 

4-8313 

5-7976 

6.7638 

7.7301 

8.6964 

•  3771 

23 

0.9662 

1.9323 

2.8985 

3.8646 

4.8308 

5-7970 

6.7631 

7.7293 

8.6954 

•  3770 

24 

0.9661 

1.9321 

2.8982 

3.8642 

4-8303 

5.7963 

6.7624 

7-7285 

8.6945 

•3769 

25 

0.9660 

I-93I9 

2  .  8979 

3-8638 

4.8298 

5-7957 

6.7617 

7.7276 

8.6936 

•  376q 

26 

0.9659 

I-93I7 

2.8976 

3-8634 

4.8293 

5-7951 

6.7610 

7.7268 

8.6927 

-3768 

27 

0.9657 

I-93I5 

2.8972 

3-8630 

4.8287 

5-7945 

6.7602 

7.7260 

8.6917 

.3767 

28 

0.9656 

I.93I3 

2.8969 

3-8626 

4.8282 

5-7939 

6-7595 

7.7252 

8.6908 

•  3766 

29 

0.9655 

1.9311 

2.8966 

3.8622 

4.8277 

5-7932 

6.7588 

7-7243 

8  .  6899 

.3765 

30 

0.9654 

1.9309 

2.8963 

3-8617 

4.8272 

5.7926 

6.7581 

7.7235 

8.6889 

•3765 

3i 

0.9653 

1.9307 

2.8960 

3-8613 

4.8267 

5-7920 

6-7573 

7.7227 

8.6880 

•3764 

32 

0.9652 

1-9305 

2.8957 

3.8609 

4.8261 

5-7914 

6.7566 

7.7218 

8.6870 

.3763 

33 

0.9651 

1.9302 

2.8954 

3-8605 

4.8256 

5.7907 

6.7559 

7.7210 

8.6861 

.3762 

34 

0.9650 

1.9300 

2.8951 

3.8601 

4.8251 

5.7901 

6-7551 

7.7201 

8.6852 

.376i 

35 

0.9649 

1.9298 

2.8947 

3-8597 

4.8246 

5-7895 

6-7544 

7-7193 

8.6842 

•  376i 

36 

0.9648 

1.9296 

2.8944 

3.8592 

4.8240 

5  7888 

6.7537 

7-7185 

8.6833 

.376o 

0.9647 

1.9294 

2.8941 

3-8588 

4-8235 

5.7882 

6.7529 

7.7176 

8.6823 

•3759 

38 

0.9646 

1.9292 

2.8938 

3-8584 

4-8230 

5.7876 

6.7522 

7.7168 

8.6814 

•3759 

39 

0.9645 

i  9290 

2.8935 

3.8580 

4-8225 

5-7870 

6.7515 

7.7159 

8.6804 

•3758 

40 

0.9644 

1.9288 

2.8932 

3-8576 

4.8219 

5.7863 

6.7507 

7.7I5I 

8.6795 

-3757 

4i 
42 
43 

0.9643 
0.9642 
0.9641 

1.9286 
1.9284 
1.9281 

2.8928 
2.8923 
2.8922 

3-8571 
3.8567 
3-8563 

4.8214 
4.8209 
4.8203 

5.7857 
5.7851 
5.7844 

6.7500 
6.7492 
6.74»5 

7.7143 
7-7134 
7.7126 

8.6785 
8.6776 

a.  6766 

-3756 

-3755 
-3755 

44 

0.9640 

1.9279 

2.8919 

3-8358 

4.8198 

5.7838 

6.7477 

7-7II7 

8-6757 

•3754 

45 

0.9639 

1.9277 

2.8916 

3-8554 

4-8193 

5-7831 

6.7470 

7.7108 

8.6747 

•3753 

46 
47 

0.9638 
0.9636 

1-9275 
1-9273 

2.8912 

3-8550 
3.8546 

4.8187 
4.8182 

5-7825 
5.7819 

6.7462 
6-7455 

7.7100 
7.7091 

8.6737 
8.6728 

-3752 
•3752 

48 

0.9635 

1.9271 

2.8906 

3-8541 

4.8177 

5.7812 

6.7448 

7.7o83 

8.6718 

•3751 

49 

0.9634 

1.9269 

2.8903 

3-8537 

4.8172 

5.7806 

6.7440 

7.7074 

8.6709 

•  3750 

50 

0.9633 

1.9266 

2.8900 

3-8533 

4.8166 

5-7799 

6-7433 

7.7066 

8.6699 

•  3749 

5i 

0.9632 

1.9264 

2.8896 

3-8529 

4.8161 

5-7793 

6.7425 

7-7057 

8.6689 

.3748 

52 
^3 

0.9631 
0.9630 

i  .  9262 
1.9260 

2.8893 
2.8890 

3.8524 
3.8320 

4.8155 
4.8150 

5-7786 
5.778o 

6.7417 
6.7410 

7.7049 
7.7040 

8.6680 
8.6670 

.3748 
•  3747 

54 

o  .  9629 

1.9258 

2.8887 

3-8516 

4  8145 

5-7773 

6.7402 

7.7031 

8.6660 

.3746 

55 

0.9628 

1.9256 

2.8883 

3.8511 

4  8i39 

5.7767 

6-7395 

7-7023 

8.6650 

•3745 

56 

0.9627 

1.9234 

2.8880 

3-8507 

4.8134 

5.776i 

6.7387 

7.7014 

8.6641 

•  3744 

57 

0.9626 

1.9251 

2.8877 

3-8503 

4.8128 

5-7754 

6.7380 

8.6631 

•  3744 

58 

o  .  9625 

1.9249 

2.8874 

3-8498 

4-8123 

5-7748 

6.7372 

7.6997 

8.6621 

•3743 

59 

0.9624 

1.9247 

2.8871 

3.8494 

4.8118 

5-7741 

6.7365 

7.6988 

8.6612 

•  3742 

60 

0.9622 

1.9245 

2.8867 

3.8490 

4.8112 

5-7735 

6-7357 

7-6979 

8.0602 

1-3742 

HEIGHTS. 


1 

2 

3 

4 

5 

6 

7 

8 

9 

b 

~f 

0.1708 

0.3415 

0.5123 

0.6831 

0.8539 

.0246 

•  1954 

.3662 

•  5369 

0.2431 

oo 

0.1710 

0.3421 

0.5131 

0.6842 

0.8552 

.0262 

•  1973 

•3683 

•  5394 

0.2435 

01 

0.1713 
0.1716 
0.1719 

0.3426 
0.3432 
°-3437 

0.5140 
0.5148 
0.5156 

0.6853 
0.6864 
0.6875 

0.8566 
0.8580 
0.8593 

.0279 
-0295 
.0312 

.1992 

.2011 
.2030 

•3705 
•3727 
•  3749 

•  5419 

•m 

0.2439 
0.2443 
0.2447 

02 

03 
04 

0.1721 

0-3443 

0.5164 

0.6886 

0.8607 

•  0328 

.2050 

•  3771 

•  5493 

0.2451 

05 

0.1724 

0.3448 

0.5173 

0.6896 

0.8620 

•0345 

.2069 

•  3793 

•  5517 

0.2455 

06 

0.1727 

0-3454 

0.5181 

0.6907 

0.8634 

.0361 

.2088 

.3814 

•  5541 

0.2459 

07 

0.1730 

0-3459 

0.5189 

0.6918 

o  .  8648 

•  0377 

.2107 

.3836 

•  5566 

0.2463 

08 

0.1732 

0.3464 

0.5197 

0.6929 

0.8661 

•  0393 

.2126 

.3858 

•  5590 

0.2467 

09 

0.1735 

0.3470 

0.5205 

o  .  6940 

0.8675 

.0410 

.2145 

.3880 

.5615 

0.2471 

10 

0.1738 

0.3475 

0.5213 

0.6951 

0.8688 

.0426 

.2164 

•3902 

•  5639 

0.2475 

ii 

0.1740 

0.3481 

0.5221 

o  .  6962 

0.8702 

.0442 

.2183 

.3923 

.5664 

0.2479 

12 

0.1743 

0.3486 

0.5229 

0.6973 

0.8716 

•  0459 

.2202 

•  3945 

.5688 

0.2483 

13 

0.1746 

0.3492 

0.5238 

0.6984 

0.8729 

•  0475 

.2221 

•3967 

.5713 

0.2487 

0.1749 
0.1751 

0.1754 

0-3497 
0.3503 
0.3508 

0.5246 
0.5254 
0.5262 

0.6994 
0.7005 

0.7016 

0.8743 
0.8757 
0.8770 

.0492 
.0508 
.0524 

.2240 
.2259 

.2278 

.3989 
.4010 
.4032 

•5737 
.5762 
•5786 

0.2491 
0.2495 
0.2499 

!i 

17 

0.1757 

0.3513 

0.5270 

0.7027 

0.8784 

.0540 

.2297 

.4054 

.5810 

0.2503 

18 

0.1759 

0.3519 

0.5278 

0.7038 

0.8797 

•0557 

.2316 

.4076 

•5835 

0.2507 

19 

o  .  1762 

0.3524 

0.5287 

0.7049 

0.8811 

•  0573 

•2335 

.4098 

.5860 

0.2511 

20 

0.1765 

0.3530 

0.5295 

0.7060 

0.8824 

.0589 

•2354 

.4119 

.5884 

0.2515 

21 

0.1768 

0-3535 

0.5303 

0.7070 

0.8838 

.0606 

•2373 

.4141 

.5908 

0.2519 

22 

0.1770 

o.354i 

o.53" 

0.7081 

o.88s2 

.0622 

•2392 

.4162 

•  5933 

0.2523 

23 

Q.I773 

0.3546 

0.7092 

0.8865 

.0638 

.2411 

.4184 

•5957 

0.2s27 

24 

0.1776 

0.3552 

0.5327 

0.7103 

0.8879 

•  0655 

.2430 

.4206 

.5982 

0.2531 

25 

0.1778 

0-3557 

0-5335 

0.7114 

0.8892 

.0671 

•2449 

.4228 

.6006 

0-2535 

26 

0.1781 

0.3562 

0-5344 

0.7125 

0.8906 

.0687 

.2468 

.4250 

•  6031 

0.2539 

27 

0.1784 

o.3<;6S 

0-5352 

0.7136 

0.8920 

•  0703 

.2487 

.4271 

•  6055 

0.2543 

28 

0.1787 

0-3573 

0.5360 

0.7146 

0.8933 

.0720 

.2506 

•4293 

.6079 

0.2547 

29 

0.1789 

0-3579 

0.5368 

0.7157 

0.8947 

•  0736 

.2525 

.4314 

.6104 

0.2551 

30 

0.1792 

0.3584 

0.5376 

0.7168 

0.8960 

•  0752 

.2544 

•4336 

.6128 

0.2555 

31 

0.1795 
0.1797 
0.1800 

0.3590 
0-3595 
0.3600 

0^5384 
0.5392 
0.5401 

0.7179 
0.7190 
0.7201 

o  .  8974 
0.9001 

.0769 
.0785 
.0801 

.2563 
.2582 
.2601 

•.1$ 

.4402 

•  6i53 
•  6i77 
.6202 

0.2559 
0.2563 
0.2567 

32 

33 
34 

0.1803 

0.3606 

0.5409 

0.7212 

0.9014 

.0817 

.2620 

•  4423 

.6226 

0.2571 

35  : 

0.1806 

0.3611 

0.5417 

0.7222 

0.9028 

.0834 

.2639 

.6250 

0.2575 

36 

0.1808 

0.3617 

0.5425 

0.7233 

0.9041 

.2658 

4466 

•  6275 

0.2579 

0.1811 

0.3622 

0-5433 

0.7244 

0.9055 

.0866 

.2677 

.4488 

.6299 

0.2583 

38 

0.1814 

0.3627 

0.5441 

0.7255 

0.9069 

0882 

.2696 

.4510 

•  6323 

0.2587 

39 

0.1816 

0.3633 

0.5449 

0.7266 

0.9082 

[0898 

.2715 

•4531 

.6348 

0.2591 

40 

0.1819 

0.3638 

0.5457 

0.7276 

0.9096 

.0915 

•  2734 

•4553 

•  6372 

0.2595 

41 

0.1822 

0.3644 

0.5465 

0.7287 

0.9109 

•  0931 

•  2753 

•  4574 

•  6396 

0.2599 

42 

0.1825 

0.3649 

0-5474 

0.7298 

0.9123 

•  0947 

.2772 

.4596 

.6421 

0.2603 

43 

0.1827 

0.3654 

0.5482 

0.7309 

0.9136 

•  0963 

.4618 

•  6445 

0.2607 

44 

0.1830 

0.3660 

0.5490 

0.7320 

0.9150 

•0979 

.2809 

•4639 

.6469 

0.2611 

45 

0.1833 

o.366s 

0.5498 

0.7330 

0.9163 

.0996 

.2828 

.4661 

.6491 

0.2615 

46 

0.1835 

0.3671 

0.5506 

0.7341 

0.9177 

.1012 

.2847 

.4682 

•  6518 

0.2619 

47 

0.1838 

0.3676 

0.5514 

0.7352 

0.9190 

.1028 

.2866 

.4704 

•  6542 

0.2623 

48 

0.1841 

0.3681 

0.5522 

0.7363 

0.9204 

.1044 

.2885 

.4726 

.6566 

0.2627 

49 

0.1843 

0.3687 

0-5530 

0-7374 

0.9217 

.Io6l 

.2904 

•  4748 

.6591 

0.2631 

50 

0.1846 

0.3692 

0.5538 

0.7384 

0.9231 

.1077 

•2923 

•  4769 

•6615 

0.2635 

51 

0.1849 

0.3698 

0.5546 

0-7395 

0.9244 

•  1093 

.2942 

.4790 

0.2639 

52 

O.l8s2 

0.3703 

0-5555 

0.7406 

0.9258 

.1109 

.2961 

.4812 

.6664 

0.2643 

53 

0.1854 

0.3708 

0.5563 

0.7417 

0.9271 

.1125 

.4834 

.6688 

0.2647 

54 

0.1857 

0.3714 

o.557i 

0.7428 

0.9285 

.1141 

.2998 

•4855 

6712 

0.2651 

55 

0.1860 

0.3719 

0-5579 

0.7438 

o  .  9298 

.1158 

•  3017 

.4877 

.6736 

0.2655 

56 

0.1862 

0.3725 

0.5587 

0.7449 

0.9312 

.1174 

•3036 

.4898 

.6761 

0.2659 

57 

0.1865 

0-3730 

0-5595 

0.7460 

0.9325 

.1190 

•3055 

.4920 

.6785 

0.2663 

58 

0.1868 

0-3735 

0.5603 

0.7471 

0.9339 

i.  1206 

•  3°74 

•  4942 

.6809 

0.2667 

59 

0.1870 

o.374i 

0.5611 

0.7482 

0.9352 

I.  1222 

•3093 

.4963 

-6834 

0.2671 

60 

II 


DISTANCES. 


r 

1 

2 

3 

4 

5 

6 

7 

8 

9 

a 

00 

.9622 

•9245 

.8867 

3.8490 

.8112 

-7735 

6-7357 

.6979 

.6602 

•  3742 

01 

.9621 

.9243 

.8864 

3.8485 

.8107 

.7728 

6-7349 

•  6971 

.6592 

•3741 

02 

.9620 

.9240 

.8861 

.8481 

.8101 

5.7721 

6-7342 

.6962 

.6582 

•3740 

03 

.9619 

•9238 

.8857 

0-8477 

.8096 

5-7715 

6-7334 

•  6953 

•  6572 

•3739 

04 

.9618 

•9236 

.8854 

.8472 

.8090 

.7708 

6.7326 

•  6944 

.6562 

•3738 

05 

.9617 

•  9234 

.8851 

.8468 

.8085 

5.7702 

6.7319 

.6936 

•  6553 

•3738 

06 

.9616 

•9232 

.8848 

.8463 

.8079 

5-7695 

1.7311 

.6927 

•6543 

•3737 

07 

•9615 

.9230 

.8844 

3.8459 

.8074 

5.7689 

6.7303 

.6918 

•6533 

-3736 

08 

.9614 

.9227 

.8841 

3.8455 

.8068 

5.7682 

6.7296 

.6909 

•  6523 

•3735 

09 

•9613 

.9225 

.8838 

3.8450 

.8063 

5.7675 

6.7288 

•6901 

•  6513 

•3734 

10 

.9611 

-9223 

.8834 

3-8446 

.8057 

5.7669 

6.7280 

.6892 

.6503 

•3734 

ii 

.9610 

.9221 

2.8831 

3.8441 

.8052 

5.7662 

6.7273 

.6883 

•  6493 

•3733 

12 

.9609 

.9218 

.8828 

3.8437 

.8046 

5-7655 

6.7265 

.6874 

.6483 

•3732 

13 

.9608 

1.9216 

.8824 

3-8433 

.8041 

5-7649 

6.7257 

.6865 

•  6473 

•3731 

14 

.9607 

.9214 

.8821 

3.8428 

-8035 

5.7642 

6.7249 

.6856 

-6463 

•  3730 

§ 

.9606 
.9605 

1.9212 
.9210 

2.8818 
2.8814 

3-8424 
3-8419 

.8030 
.8024 

5-7635 
5.7629 

6.7241 
6.7234 

.6847 
.6838 

•6453 
•6443 

•3730 
-3729 

17 

.9604 

1.9207 

2.8811 

3-8413 

itjprf 

5.7622 

6.7226 

.6830 

•6433 

.3728 

18 

.9603 

1.9205 

2.8808 

3.8410 

.8013 

5.76i5 

6.7218 

.6821 

-6423 

•  3727 

19 

.9601 

1.9203 

2.8804 

3.8406 

4.8007 

5.7609 

6.7210 

.6812 

.6413 

.3726 

20 

.9600 

1.9201 

2.8801 

3.8401 

,.8002 

5.7602 

6.7202' 

.6803 

.6403 

.3726 

21 

•9599 

1.9198 

2.8798 

3-8397 

4.7996 

5-7595 

6.7195 

.6794 

8.6393 

.3725 

22 

•9598 

1.9196 

2.8794 

3-8392 

4.7990 

5-7589 

6.7187 

7-6785 

5.6383 

•3724 

23 

•9597 

1.9194 

2.8791 

3-8388 

4-7985 

5.7582 

6.7179 

7-6776 

8.6373 

•3723 

24 

-9596 

1.9192 

2.8788 

3-8383 

4-7979 

5-7575 

6.7171 

7.6767 

8.6363 

•  3722 

3 

0-9595 
0-9594 

1.9189 

1.9187 

2.8784 
2.8781 

3.8379 
3-8374 

4-7974 
4-7968 

5-7568 
5.7562 

6.7163 
6.7155 

7.6758 
7.6749 

8.6352 
8.6342 

•3722 

.3721 

27 

0.9592 

1.9185 

2.8777 

3.8370 

4.7962 

5-7555 

6.7147 

7.6740 

8.6332 

1.3720 

28 

o.959i 

1.9183 

2.8774 

3.8365 

4-7957 

5-7548 

6.7139 

7-673I 

8.6322 

1.3719 

29 

1.9180 

2.8771 

3-8361 

4-7951 

5-7541 

6.7131 

7.6722 

8.6312 

1.3718 

0.9585 

1.9178 

2.8767 

3-8356 

4-7945 

5-7534 

6.7124 

7.6713 

8.6302 

1.3718 

3i 

0.9588 

1.9176 

2.8764 

3.8352 

4.7940 

5.7528 

6.7116 

7  •  6/04 

8.6291 

1.3717 

32 

0.9587 

1.9174 

2.8760 

3-8347 

4-7934 

5.7521 

6.7108 

7-6604 

8.6281 

1.3716 

33 
34 

0.9586 
0.9585 

1.9171 
1.9169 

2.8757 
2.8754 

3-8343 
3.8338 

t-7928 

5-7514 
5-7507 

6.7100 
6.7092 

7.6685 
7.6676 

8.6271 
8.6261 

1.3715 
1.3714 

0.9583 

1.9167 

2.8750 

3-8333 

h79i7 

5-75oo 

6.7084 

7.6667 

8.6250 

1.3714 

36 

0.9582 

1.9164 

2.8747 

3-8329 

4.7911 

5-7493 

6.7076 

7.6658 

8  .  6240 

1.3713 

38 

0.9581 
0.9580 

1.9162 
1.9160 

2.8743 
2.8740 

3-8324 
3.8^20 

4.7905 

5.7487 
5.7480 

6.7068 
6.7060 

7.6649 
7.6640 

8.6230 
8.6219 

1.3712 
1.3711 

39 
40 

0-9579 
0.9578 

1-9158 

2.8736 
2.8733 

3-8315 
3-83H 

tisi 

5-7473 
5.7466 

6.7052 
6.7044 

7.6630 
7.6621 

8.6209 
8.6199 

1.3710 
1.3710 

41 

0.9577 

i.9i53 

2.8730 

3-8306 

4.7883 

5-7459 

6.7036 

7.6612 

8.6189 

1.3709 

42 

0-9575 

1.9151 

2.8726 

3-8301 

4.7877 

5-7452 

6.7027 

7-6603 

8.6178 

1.3708 

43 
44 

0.9574 
0-9573 

1.9148 
1.9146 

2.8723 
2.8719 

3-8297 
3.8292 

4.7871 
4.7865 

5-7445 
5-7438 

6.7019 
6.7011 

7-6593 
7.6584 

8.  6168 
8.6157 

1.3707 
1.3706 

45 

0.9572 

1.9144 

2.8716 

3-8287 

4.7859 

5-7431 

6  .  7003 

7-6575 

8.6147 

1.3706 

46 

0.9571 

1.9141 

2.8712 

3-8283 

4.7854 

5.7424 

6-6995 

7.6566 

8.6136 

1.3705 

47 

0.9570 

2.8709 

3.8278 

4.7848 

5.74I7 

6.6987 

7.6556 

8.6126 

1.3704 

48 

0.9568 

i.9i37 

2.8705 

3-8274 

4.7842 

5.7410 

6.6979 

7.6547 

8.6116 

1.3703 

49 

0.9567 

2.8702 

3.8269 

4.7836 

5-7403 

6.6971 

7.6538 

8.6105 

1.3702 

0.9566 

1.9132 

2.8698 

3-8264 

4.7830 

5.7396 

6.6962 

7.6529 

8.6095 

1.3702 

52 

0.9565 
0.9564 

1.9130 
1.9127 

2.8695 
2.8691 

3.8260 
3-8255 

4.7824 
4.7819 

5.7389 
5.7382 

6-6954 
6.6946 

7.6519 
7.6510 

8.6084 
8.607 

1.3701 
1.3700 

s: 

0.9563 
0.9561 

1.9125 

1.  912; 

2.8688 
2.8684 

3-8250 
3.8245 

4.7813 
4.7807 

5-7375 
5.7368 

6.6938 
6.6930 

7-6500 
7.649 

8.606 
8.605 

1-3699 
1.3698 

5! 

0.9560 

1.9120 

2.8681 

3-8241 

4.7801 

5.736i 

6.692 

7.648 

8.604 

1.3698 

56 

0-9559 
0-9558 

1.9118 
1.9116 

2.8677 
2.8674 

3-8236 
3-823 

4-7795 
4-7789 

5-7354 
5-7347 

6.6913 

7.647 
7.646 

8.603 
8.602 

1.3697 
1.3696 

58 

0-9557 

1.9113 

2.8670 

3.8227 

4.7783 

5-7340 

6.689 

7.645 

8.601 

1.3695 

59 

0.9556 

1.9111 

2.8667 

3.8222 

4-7778 

5-7333 

6  688 

7.644 

8.600 

1.3694 

60 

0.9554 

1.9109 

2.8663 

3.8217 

4-7772 

5.7326 

6!  6880 

7.643 

8.598 

1.369 

HEIGHTS. 


II 


1 

2 

3 

4 

5 

6 

7 

8 

9 

b 

r 

0.1870 

0.3741 

0.5611 

0.7482 

0.9352 

.1222 

•  3093 

.4963 

.6834 

0.2671 

oo 

0.1873 

0.3746 

0.5619 

0.7492 

0.9366 

•1239 

.3112 

.4985 

0.2675 

OI 

0.1876 

0.3752 

0.5627 

0.7503 

0.9379 

.1255 

•  3131 

.5006 

.6882 

0.2679 

02 

0.1878 

0-3757 

0.5635 

0.75M 

0.9392 

.1271 

.3149 

.5028 

6906 

0.2683 

03 

0.1881 

o  3762 

o  .  5644 

0.7525 

o  .  9406 

.1287 

.3168 

.5050 

•6931 

0.2687 

04 

0.1884 

0.3768 

o.=;6^2 

0.7536 

0.9420 

•1303 

.3187 

.5071 

•6955 

0.2691 

05 

0.1887 

0-3773 

0.5660 

0.7546 

0-9433 

•1319 

.3206 

•  5093 

.6979 

0.2695 

06 

0.1889 

0.3778 

0.5668 

0-7557 

o  .  9446 

•1335 

.3224 

.5114 

.7003 

0.2699 

07 

0.1892 

0.3784 

0.5676 

0.7568 

0.9460 

.1351 

•  3243 

.5135 

.7027 

0.2703 

08 

0.1895 

0.3789 

0.5684 

0.7578 

0.9473 

.1368 

.3262 

•  5157 

•  7051 

0.2707 

09 

0.1897 

0-3795 

0.5692 

0.7589 

0.9487 

.1384 

.3281 

.5178 

.7076 

0.2711 

IO 

o.  1900 

0.3800 

0.5700 

0.7600 

0.9500 

.I40O 

•  3300 

.5200 

.7100 

0.2715 

II 

,0.1903 

0.3805 

0.5708 

0.7611 

0.9513 

.1416 

.3319 

.5222 

.7124 

0.2719 

12 

0.1905 

0.3811 

0.^716 

0.7622 

0.9527 

.1432 

.3338 

•  5243 

.7149 

0.2723 

13 

0.1908 

0.3816 

0.5724 

0.7632 

0.9540 

.1448 

•3357 

.5265 

•  7173 

0.2727 

14 

0.1911 

0.3821 

0.5732 

0.7643 

0.9554 

.1464 

•3375 

.5286 

.7197 

0.2731 

15 

0.1913 

0.3827 

0.5740 

0.7654 

0.9567 

.1480 

•3394 

•  5307 

.7221 

0.2735 

16 

0.1916 

0.3832 

0.5748 

o  .  7664 

0.9580 

•1497 

.3413 

•  5329 

.7245 

0.2739 

17 

0.1919 

0.3838 

0.5756 

0.7675 

0.9594 

.1513 

•3432 

•  5350 

.7269 

0.2743 

18 

0.1921 

0.3843 

0.5764 

0.7686 

0.9607 

.1529 

•  3450 

•  5372 

•7293 

0.2747 

19 

0.1924 

0.3848 

0-5773 

0.7697 

0.9621 

•1545 

•3469 

•5394 

.7317 

0.2751 

20 

0.1927 

0.3854 

0.5781 

0.7707 

0.9634 

.I56l 

.3488 

.5415 

•7341 

0.2755 

21 

0.1930 

0.3859 

0.5789 

0.7718 

0.9648 

•1577 

•3507 

•5436 

.7366 

0.2759 

22 

0.1932 
0-1935 

0.3864 
0.3870 

0.5797 
0.5805 

0.7729 
0.7740 

0.9661 
0.9674 

•1593 
.1669 

•3525 

.5458 
•5479 

•7390 
.7414 

0.2763 
0.2767 

23 
24 

0.1938 

0.3875 

0.5813 

0.7750 

0.9688 

.1625 

.3563 

.5500 

•7438 

0.2771 

25 

0.1940 

0.3880 

0.5821 

0.7761 

0.9701 

.1641 

•  358i 

•5522 

.7462 

0.2775 

26 

o.i943 

0.3886 

o  .  ^829 

0.7772 

0.9714 

.1657 

.3600 

•5543 

.7486 

0.2779 

27 

o  .  1940 

0.3891 

o  5837 

0.7782 

0.9728 

.1673 

.3619 

•5565 

•  7510 

0.2783 

28 

0.1948 

0.3896 

0.5845 

0-7793 

0.9741 

.1689 

•3637 

.5586 

•7534 

0.2787 

29 

0.1951 

0.3902 

0.5853 

0.7804 

0.9755 

.1705 

.3656 

.5607 

•7558 

0.2791 

30 

0.1954 

0.3907 

0.5861 

0.7814 

0.9768 

.1722 

.3675 

.5629 

.7582 

0.2795 

3i 

0.1956 

o.39i3 

0.5869 

0.7825 

0.9781 

1738 

•3694 

.5650 

.7606 

0.2799 

32 

0.1959 

0.3918 

0.5877 

0.7836 

0.9795 

•1754 

•  3712 

•  5671 

.7630 

0.2803 

33 

0.1962 

0-3923 

0.5885 

0.7846 

0.9808 

.1770 

•3731 

•5693 

.7654 

o  .  2807 

34 

0.1964 

0.3929 

0.5893 

0.7857 

0.9821 

.1786 

•3750 

•5714 

7679 

0.2811 

35 

0.1967 

0-3934 

0.5901 

0.7868 

0.9835 

.1802 

•3709 

•5736 

.7703 

0.2815 

36 

0.1970 

0-3939 

0.5909 

0.7878 

0.9848 

.1818 

.3787 

•5757 

.7727 

0.2819 

37 

0.1972 

0-3945 

0.5917 

0.7889 

0.9861 

.1834 

.3806 

•5778 

•  7751 

0.2823 

38 

0.1975 

0-3950 

0.5925 

0.7900 

0.9875 

.1850 

•3825 

.5800 

•  7775 

0.2827 

39 

0.1978 

0-3955 

0.5933 

0.7910 

0.9888 

.1866 

.3843 

.5821 

•  7799 

0.2831 

40 

o  .  1980 

0.3961 

0.5941 

0.7921 

0.9901 

.1882 

.3862 

.5842 

•  7823 

0.2835 

4i 

0.1983 

0.3966 

0.5949 

0.7932 

0.9915 

.1898 

.3881 

.5864 

.7847 

0.2839 

42 

0.1986 

o.397i 

0.5957 

0.7942 

0.9928 

.1914 

•3899 

.5885 

.7871 

0.2843 

43 

0.1988 

0-3977 

0.5965 

0.7953 

o  9941 

.1930 

•39i8 

.5906 

.7895 

0.2847 

44 

0.1991 

0.3982 

0.5973 

0.7964 

0.9955 

.1946 

•3937 

.5928 

.7919 

0.2851 

45 

0.1994 
0.1996 

0.3987 
0.3993 

0.5981 
0.5989 

0.7974 
0.7985 

0.9968 
0.9981 

.1962 
.1978 

•3955 
•3974 

•5949 
•5970 

•38 

0.2855 
0.2859 

46 

47 

0.1999 

0.3998 

0.5997 

o  •  7996 

0.9994 

.1994 

•3992 

•5991 

•  7990 

0.2863 

48 

0  .  2O02 

o  .  4003 

0.6005 

o  .  8006 

I.  0008 

.2010 

.4011 

•  6013 

.8014 

0.2867 

49 

0.2004 

0.4009 

0.6013 

0.8017 

I.O021 

.2026 

.4030 

.6034 

.8038 

0.2871 

5o 

0.2007 

0.4014 

0.6021 

0.8028 

1.0034 

.2041 

.4048 

.6055 

.8062 

0.2875 

5i 

0.2010 

0.4019 

0.6029 

0.8038 

1.0048 

.2057 

.4067 

.6077 

.8086 

0.2879 

52 

0.2012 

0.4024 

0.6037 

0.8049 

I.  0061 

.4085 

.6098 

.8110 

0.2883 

53 

0.2015 

0.4030 

0.6045 

0.8060 

1.0075 

.2089 

.4104 

.6119 

.8134 

0.2887 

M 

0.20l8 

0.4035 

0.6053 

o  .  8070 

1.0088 

.2105 

•  4123 

.6141 

.8158 

0.2891 

55 

0  .  202O 

0.4040 

0.6061 

0.8081 

I.OIOI 

.2121 

.4141 

.6162 

.8182 

0.2895 

56 

0.2023 

0.4046 

0.6069 

0.8092 

1.0114 

.2137 

.4160 

.6183 

.8206 

0.2899 

57 

0  .  2026 

0.4051 

0.6077 

0.8102 

1.0128 

•2153 

•  4179 

.6204 

.8230 

0.2903 

58 

o  .  2028 

0.4056 

0.6085 

0.8113 

1.0141 

.2169 

•  4197 

.6226 

.8254 

0.2907 

59 

0.2031 

o  .  4062 

0.6092 

0.8123 

1.0154 

.2185 

.4216 

.6247 

.8278 

0.2911 

60 

DISTANCES. 


1 

2 

3 

4 

5 

6 

t 

8 

9 

a 

00 

0.9554 

1.9109 

2.8663 

3-8217 

4.7772 

5.7326 

6.6880 

7.6435 

8.5989 

•  3694 

01 

0.9553 

1.9106 

2.8659 

3-8213 

4.7766 

5.73I9 

6.6872 

7-6425 

8.59/8 

•  3693 

02 

0.9552 

1.9104 

2.8656 

3.8208 

4.7760 

5-7312 

6.6864 

7.6416 

8.5968 

•  36931 

03 

0.9551 

1.9102 

2.8652 

3-8203 

4-7754 

5-7305 

6.6855 

7.6406 

8-5957 

•3692! 

04 

0.9550 

1.9099 

2.8649 

3.8198 

4.7748 

5.7297 

6.6847 

7.6397 

8.5946 

.3691  1 

05 

0.9548 

1.9097 

2.8645 

4-7742 

5.7290 

6.68*) 

7-6387 

8.5936 

o6 

0.9547 

1.9094 

2.8642 

3-8i?9 

.1.7736 

5-7283 

6.6830 

7  •  6378 

8.5925 

07 

0.9546 

1.9092 

2.8638 

3-8184 

4-7730 

5.7276 

6.6822 

7-6368 

8.5914 

08 

0.9545 

1.9090 

2.8634 

3.8i79 

4.7724 

5.7269 

6.6814 

7.6359 

8.5903 

•  3687 

09 

0.9544 

1.9087 

2.8631 

3.8i75 

4.77i8 

5.7262 

6.6805 

7.6349 

8.5893 

.3687 

10 

0.9542 

1.9085 

2.8627 

3-8170 

4.7712 

5-7255 

6.6797 

7-6340 

8.5882 

.3686 

II 

0.9541 

1.9082 

2.8624 

3-8165 

4.7706 

5.7247 

6.6789 

7.6330 

8.5871 

.3685 

12 

0.9540 

1.9080 

2.8620 

3-8160 

4.7700 

5-7240 

6.6780 

7.6320 

8.5860 

.3684 

13 

0.9539 

1.9078 

2.8616 

3-8i55 

6.6772 

7.6311 

8.5849 

-3683 

14 

0.9538 

1.9075 

2.8613 

3-8150 

4*7688 

5  '7226 

6.6763 

7.6301 

8.5839 

.3682 

15 

0.9536 

1.9073 

2.8609 

3-8146 

4.7682 

5.7219 

6.6755 

7.6291 

8.5828 

.368: 

16 

0.9535 

1.9070 

2.8606 

3-8141 

4.7676 

5.7211 

6.6747 

7.6282 

8.5817 

.3681 

17 

0-9534 

1.9068 

2.8602 

3-8136 

4.7670 

5.7204 

6.6738 

7.6272 

8.^806 

.3680 

18 

0-9533 

1.9066 

2.8598 

3.8i3i 

4.7664 

5-7197 

6.6730 

7.6262 

8-5795 

•  3679 

19 

0-9532 

1.9063 

2.8595 

3.8126 

4-7658 

6.6721 

7-6253 

8.5784 

3678 

20 

o.953o 

1.9061 

2.8591 

3.8122 

4-7652 

5*7182 

6.6713 

7-6243 

8-5774 

.3677 

21 
22 

0.9529 
0.9528 

1.9058 
1.9056 

2.8588 
2.8584 

3.8117 
3.8112 

4.7646 
4.7640 

5.7175 
5.7i68 

6  .  6704 

7-6233 
7.6224 

8.5763 
8.5752 

-3676 
•3675 

23 

0.9527 

1.9053 

2.8580 

3-8107 

4-7634 

5.7160 

6  6687 

7.6214 

8.5741 

.3674 

24 

0.9526 

1.9051 

2.8577 

3.8102 

4.7628 

5.7153 

6.6679 

7.6204 

8-5730 

.3673 

25 

0.9524 

1.9049 

2.8573 

3.8097 

4.7622 

5.7U6 

6.6670 

7.6194 

8.5719 

.3672 

26 

0.9523 

1.9046 

2.8569 

3-8092 

6.6662 

7.6185 

8.5708 

•  3672 

27 

0.9522 

1.9044 

2.8566 

3-8087 

4-7609 

5.7131 

6.6653 

7.6i75 

.3671 

28 

0.9521 

1.9041 

2.8562 

3.8083 

4-7603 

5.7124 

6.6644 

7-6165 

8.  s686 

.3670 

29 

o.95i9 

1.9039 

2.8558 

3-8078 

4-7597 

6.6636 

7.6155 

8.5675 

.3660 

30 

0.9518 

1.9036 

2.8555 

3-8073 

4-7591 

5^7109 

6.6627 

7.6146 

8.5664 

.3668 

31 

0.9517 

1.9034 

2.8551 

3.8068 

4.7585 

5.7102 

6.6619 

7.6136 

8.5653 

•  3667 

32 

0.9516 

1.9031 

2.8547 

3-8063 

4-7579 

5.7094 

6.6610 

7.6126 

8.5642 

.3667 

33 

0.9514 

1.9029 

2.8543 

3-8058 

4-7572 

5.7087 

6.6601 

7.6116 

8.5630 

.3666 

34 

o.95i3 

1.9027 

2.8540 

3-8053 

4-7566 

5.7080 

6.6593 

7.6106 

8.5619 

.3665 

0.9512 

1.9024 

2.8*36 

3.8048 

4.756o 

5.7072 

6.6584 

7-6096 

8.5608 

.3664 

36 

0.9511 

1.9022 

2.8532 

3-8043 

4-7554 

5-7065 

6.6575 

7.6086 

8.5597 

•  3663 

37 

0.9510 

1.9019 

2.8529 

3-8038 

4.7548 

5.7057 

6.6567 

7.6076 

8.5586 

.3662 

38 

0.9508 

1.9017 

2.8525 

3-8033 

4-7542 

6.6558 

7.6066 

8-5575 

.3661 

39 

0.9507 

i  9014 

2.8521 

3.8028 

4-7535 

5*7042 

6.6550 

7.6057 

8.5564 

.3660 

40 

0.9506 

1.9012 

2.8518 

3-8023 

4.7529 

5-7035 

6.6541 

7.6047 

8-5553 

.3660 

4i 

o.95o5 

1.9009 

2.8514 

3.8018 

4.7523 

5.7028 

6.6532 

7-6037 

8-5541 

•3659 

42 

0.9503 

1.9007 

2.8510 

3-8013 

4.7517 

5.7020 

6.6523 

7.6027 

8-5530 

.3658 

43 
44 

0.9502 
0.9501 

1.9004 

I.  9002 

2.8506 
2.8503 

3.8008 
3-8003 

4-7510 
4.7504 

5-7013 
5-7oo5 

6.6515 
6.6506 

7.6017 
7.6007 

8.5519 
8.5508 

•  3657 
.3656 

0.9500, 

1.8999 

2.8499 

3.7998 

4.7498 

5.6998 

6.6497 

7-5997 

8.5496 

•  3655 

46 

0.9498 

1.8997 

2.8495 

3-7993 

4-7492 

6.6488 

7.5987 

8.5485 

.3654 

47 

0-9497 

1.8994 

2.8491 

3.7988 

4.7485 

5.6983 

6.6480 

7-5977 

8-5474 

.3653 

48 

0.9496 

2.8488 

3-7983 

4-7479 

5-6975 

6.6471 

7.5967 

8.5463 

-3652 

49 

50 

0.9495 
0-9493 

I  '.898? 

2.8484 
2.8480 

3.7978 
3-7973 

4-7473 
4.7467 

5.6968 
5.6960 

6.6462 
6.6453 

7-5957 
7-5947 

8.5451 
8.5440 

-3651 
•3651 

5t 

0.9492 

1.8984 

2.8476 

3-7968 

4.7460 

5-6952 

6.6444 

7-5937 

8.5429 

•3650 

52 

0.9491 

1.8982 

2.8472 

3-7963 

4-7454 

5.6945 

6.6436 

7.5926 

8.5417 

.3649 

53 

0.9490 

1.8979 

2.8469 

3-7958 

4.7448 

5-6937 

6.6427 

7.5916 

8.5406 

.3648 

54 

0.9488 

1.8977 

2.8465 

3-7953 

4.7441 

5.6930 

6.6418 

8.5395 

.3647 

0.9487 

1.8974 

2.8461 

3-7948 

4-7435 

5.6922 

6.6409 

7  5896 

8.5383 

.3646 

56 

0.9486 

I.897I 

2.8457 

4.7429 

5.6914 

6.6400 

7-5886 

8-5372 

.3645 

I 

0.9484 
0.9483 

2.8453 
2.8450 

3-7933 

4-7422 
4.74i6 

5-6907 
5.6899 

6.6391 
6.6382 

7.5876 
7-5866 

8.5360 
8.5349 

.3644 
-3643 

59 

0.9482 

J.'8964 

2.8446 

3-7928 

4.7410 

5.6802 

6.6374 

7.5856 

8.533$ 

•  3642 

c 

0.9481 

1.8961 

2.8442 

3.7923 

4-7403 

5.6884 

6.6365 

7.5845 

8.5326 

.3641 

HEIGHTS. 


12' 


1 

2, 

3 

4 

5 

6 

7 

8 

9 

b 

r 

0.2031 

0.4062 

o  .  6092 

0.8123 

1.0154 

1.2185 

1.4216 

1.6247 

.8278 

0.2911 

00 

o  .  2033 

0.4067 

0.6100 

0.8134 

1.0167 

I  .  22OI 

1.4234 

1.6268 

.8302 

0.2915 

01 

o  .  2036 

0.4072 

0.6108 

0.8144 

1.0181 

I.22I7 

1.4253 

1.6289 

.8325 

o  .  291^ 

02 

0.2039 
0.2041 

0.4078 
0.4083 

0.6116 
0.6124 

0.8155 
0.8166 

1.0194 
i  .  0207 

1.2233 

1.2248 

1.4272 
1.4290 

1.6310 
1-6331 

•  8349 
•  8373 

0.2923 
0.2927 

03 
04 

0.2044 

0.4088 

0.6132 

0.8176 

I.  0221 

1.2264 

1.4309 

1-6353 

•  8397 

0.2931 

05 

0.2047 

0.2049 

0.4093 
0.4099 

0.6140 
0.6148 

0.8187 
0.8198 

1.0234 
1.0247 

1.2280 
I  .  2296 

1.4346 

1-6374 
1.6395 

.8420 
.8444 

0.2935 
0.2939 

06 

07 

0.2052 

0.4104 

0.6156 

0.8208 

I.O2OO 

I.23I2 

i  .  4364 

1.6416 

.8468 

0.2943 

08 

0.2055 

0.4109 

0.6164 

0.8219 

1.0273 

1.2328 

1-4383 

1.6438 

.8492 

0.2947 

09 

0.2057 

0.4115 

0.6172 

0.8229 

I  .  0287 

1.2344 

1.4401 

1.6459 

.8516 

0.2951 

10 

0.2060 

0.4120 

0.6180 

0.8240 

1.0300 

1.2360 

1.4420 

1.6480 

-8540 

0-2955 

ii 

0.2063 

0.4125 

0.6188 

0.8250 

I.03I3 

1.2376 

1.4438 

1.6501 

.8564 

0.2959 

2 

0.2065 

0.4131 

0.6196 

0.8261 

1.0326 

1.2392 

1-4457 

1.6522 

.8588 

0.2962 

•7 

0.2068 

0.4136 

0.6204 

0.8272 

1.0340 

1.2408 

1-4475 

1-6543 

8611 

0.2966 

4 

0.2071 

0.4141 

0.6212 

0.8282 

1.0353 

1.2424 

1.4494 

i  .  6565 

.8635 

0.2970 

c 

0.2073 

0.4146 

0.6220 

0.8293 

1.0366 

1.2439 

1.4512 

1.6586 

.8659 

0.2974 

6 

0.2076 

0.4152 

0.6227 

0.8303 

1.0379 

1.2455 

I-453I 

1.6607 

.8682 

0.2978 

0.2078 

0.4157 

0.6235 

0.8314 

1.0392 

1.2471 

1-4549 

1.6628 

.8706 

0.2982 

Q 

0.2081 

0.4162 

0.6243 

0.8324 

1.0406 

1.2487 

1.4568 

1.6649 

.8730 

0.2986 

19 

0.2084 

0.4168 

0.6251 

0.8335 

1.0419 

1.2503 

1.4587 

1.6670 

.8754 

0.2990 

20 

0.2086 

0.4173 

0.6259 

0.8346 

1.0432 

1.2518 

1.4605 

1.6691 

-8778 

0.2994 

21 

0.2089 

0.4178 

0.6267 

0.8356 

1.0445 

1-2534 

1.4623 

1.6712 

.8801 

0.2998 

22 

0.2092 

0.4183 

0.6275 

0.8367 

1.0458 

1.2550 

1.4642 

1-6734 

.8825 

0.3002 

23 

0.2094 
0.2097 

0.4189 
0.4194 

0.6283 
o  .  6291 

0.8377 
0.8388 

1.0472 

1.2566 
1.2582 

1.4660 
1.4679 

1-6755 
1.6776 

.8849 
.8873 

0.3006 
0.3010 

24 
25 

0.2100 

0.4199 

0.6299 

0.8398 

i  .  0498 

1.2598 

1.4697 

1.6797 

.8896 

0.3014 

26 

0.2102 

0.4204 

0.6307 

0.8409 

1.0511 

1.2613 

1.4715 

i.  6818 

.8920 

0.3018 

27 

O.2I05 

0.4210 

0.6315 

0.8420 

1.0524 

1.2629 

1-4734 

1.6839 

.8944 

0.3022 

28 

0.2107 

0.4215 

0.6322 

0.8430 

1-0537 

1.2645 

1.4752 

1.6860 

.8967 

0.3026 

29 

0.2IIO 

o  .  4220 

0.6330 

0.8440 

1.0551 

1.2661 

I.477I 

1.6881 

-8991 

0.3030 

30 

0.2II3 

0.4226 

0.6338 

0.8451 

1.0564 

1.2677 

1-4790 

1.6902 

.9015 

0.3034 

3i 

0.2II5 

0.4231 

0.6346 

0.8462 

1.0577 

1.2692 

1.4808 

1.6923 

•9039 

0.3038 

32 

0.2II8 

0.4236 

0.6354 

0.8472 

1.0590 

1.2708 

1.4826 

1.6944 

.0062 

0.3042 

33 

O.2I2I 

0.4241 

0.6362 

0.8483 

1.0603 

1.2724 

1-4845 

1.6965 

.9086 

0.3046 

34 

0.2123 

0.4247 

0.6370 

0.8493 

i.  0616 

1.2740 

1.4863 

1.6986 

.9110 

0.3050 

35 

0.2126 

0.4252 

0.6378 

0.8504 

1.0630 

1-2755 

1.4881 

1.7007 

•9133 

0.3054 

36 

0.2129 
0.2131 

0.4257 

0.4262 

0.6386 
0.6394 

0.8514 
0.8525 

1.0643 

1.2771 

1.2787 

1.4900 
1.4918 

1.7028 
1.7049 

.9157 
.9181 

0.3058 
0.3062 

i 

0.2E34 

0.4268 

0.6401 

0.8535 

c  .  0669 

1.2803 

1-4937 

1.7070 

.9204 

0.3066 

39 

0.2136 

0.4273 

0.6409 

0.8546 

1.0682 

1.2818 

1-4955 

1.7091 

.9228 

0.3070 

40 

0.2139 

0.4278 

0.6417 

0.8556 

1.0695 

1.2834 

1-4973 

1.7112 

1.9251 

0.3074 

4i 

0.2142 

0.4283 

0.6425 

0.8567 

1.0708 

1.2850 

1.4992 

I.7I33 

1.9275 

0.3078 

42 

0.2144 

0.4289 

0.6433 

0-8577 

1.0721 

1.2866 

1.5010 

i.7i54 

1.9299 

0.3082 

43 

0.2147 

0.4294 

0.6441 

0.8588 

1-0735 

1.2881 

1.5028 

I.7I75 

1.9322 

0.3086 

44 

0.2150 

0.4299 

0.6449 

0.8598 

1.0748 

1.2897 

i  .  5047 

1.7196 

I.9346 

0.3090 

45 

0.2152 

0.4304 

0.6457 

0.8609 

1.0761 

1.2913 

i  .  5065 

1.7217 

1-9370 

0.3094 

46 

0.2155 

0.4310 

0.6464 

0.8619 

1.0774 

1.2929 

1-5084 

1.7238 

1-9393 

0.3098 

47 

0.2157 

0.4315 

0.6472 

0.8630 

1.0787 

1.2944 

1.5102 

1.7259 

1.9417 

0.3102 

48 

0.2160 

0.4320 

0.6480 

0.8640 

i.  0800 

1.2960 

1.5120 

1.7280 

1.9440 

0.3106 

49 

0.2163 

0.4325 

0.6488 

0.8651 

1.0813 

1.2976 

1.5138 

1.7301 

1.9464 

0.3110 

5o 

0.2165 

0.4331 

0.6496 

0.8661 

1.0826 

1.2992 

I-5I57 

1.7322 

1.9487 

0.3114, 

5i 

0.2168 

0.4336 

0.6504 

0.8671 

1.0839 

1.3007 

I-5I75 

1-7343 

1.9511 

0.3118 

52 

0.2170 

0.4341 

0.6511 

o  .  8682 

1.0852 

1.3023 

I-5I93 

1.7364 

i  .  9534 

0.3121 

53 

0.2173 

0.4346 

0.6519 

0.8692 

i.  0866 

*.3039 

1.5212 

1.7385 

1.9558 

0.3125 

54 

0.2176 

0.4351 

0.6527 

0.8703 

1.0879 

1.3054 

1.5230 

1.7406 

1.9581 

0.3129 

55 

0.2178 

0-4357 

0.6535 

0.8713 

1.0892 

1.3070 

1.5248 

i  .  7427 

i  .9605 

o.3i33 

56 

0.2181 

0.2184 

0.4362 
0.4367 

0.6543 
0.6551 

0.8724 

0.8734 

1.0905 
1.0918 

1.3086 
1.3101 

1.5267 

1.5285 

1.7448 
1.7468 

1.9629 
1.9652 

0.3137 
0.3141 

11 

0.2186 

0.4372 

0.6559 

0.8745 

1.0931 

i.3"7 

1-5303 

1.7489 

1.9676 

o.3i45 

59 

0.2189 

0.4378 

0.6566 

0.8755 

1.0944 

I-3I33 

1.5322 

1.7510 

1.9699 

o.3i49 

60 

13' 


DISTANCES. 


F 

1 

2 

3 

4 

5 

6 

7 

8 

9 

a 

OO 
01 

0.9481 
0-9479 

.8961 
.8959 

2.8442 

2.8438 

3-7923 
3-7918 

4-7403 
4-7397 

5.6884 
5.6876 

6.6365 
6.6356 

7.5845 
7.5835 

8.5326 
8.5315 

.3641 
.3640 

02 
03 

0.9478 
0.9477 

.8956 
.8954 

2.8434 
2.8431 

3-7912 
3-7907 

4-7391 
4-7384 

5.6869 
5.6861 

6.6347 
6.6338 

7-5825 
7.58i5 

8.5303 
8.5292 

.3639 
•  3638 

04 

0.9476 

.8951 

2.8427 

3.7902 

4-7378 

5-6853 

6.6329 

7.5804 

8.5280 

.3637 

05 

0.9474 

.8949 

2.8423 

3.7897 

4-7371 

5.6846 

6.6320 

7-5794 

8.5269 

•  3636 

06 

0.9473 

.8946 

2.8419 

3-7892 

4.7365 

5-6838 

6.6311 

7.57S4 

8.5257 

•  3635 

07 

0.9472 

.8943 

2.8415 

3.7887 

4-7359 

5.6830 

6  .  6302 

7-5774 

8.5245 

•  3634 

08 

0.9470 

.8941 

2.8411 

3.7882 

4-7352 

5-6823 

6.6293 

7.5763 

8.5234 

.3634 

09 

0.9469 

.8938 

2.8407 

3.7877 

4-7346 

5-6815 

6.6284 

7-5753 

8.5222 

•  3633 

10 

0.9468 

.8936 

2.8404 

3.7871 

4-7339 

5.6807 

6^6275 

7-5743 

8.5211 

•3632 

II 

0.9467 

.8933 

2.8400 

3-7866 

4-7333 

5-6799 

6.6266 

7-5733 

8.5199 

•  3631 

12 

0.9465 

.8931 

2.8396 

3.786i 

4.7326 

5.6792 

6.6257 

7-5722 

8.5188 

•  3630 

13 

0.9464 

.8928 

2.8392 

3.7856 

4-7320 

5-6784 

6.6248 

7-5712 

8.5176 

14 

0.9463 

.8925 

2.8388 

3.7851 

4.7313 

5.6776 

6.6239 

7.5702 

8.5164 

.3628 

15 

0.9461 

.8923 

2.8384 

3-7846 

4.7307 

5.6768 

6.6230 

8.5153 

.3627 

16 

0.9460 

.8920 

2.8380 

3.7840 

4.7300 

5.6761 

6.6221 

7'.$$i 

8.5141 

-3626 

17 

0.9459 

.8918 

2.8376 

3.7835 

4.7294 

5.6753 

6.6212 

7-5670 

8.5129 

.3625 

18 

0.9458 

.8915 

2.8373 

3.7830 

4.7288 

5-6745 

6.6203 

7.566o 

8.5118 

.3624 

19 

0.9456 

.8912 

2.8369 

3-7825 

4.7281 

5-6737 

6.6193 

7.5650 

8.5106 

-3623 

20 

0-9455 

.8910 

2.8365 

3.7820 

4-7275 

5.6729 

6.6184 

7.5639 

8.5094 

.3622 

21 

0.9454 

.8907 

2.8361 

3.78i4 

4.7268 

5.6722 

6.6175 

7-5629 

8.5082 

.3621 

22 

0.9452 

.8905 

2.8357 

3-7809 

4.7261 

5.6714 

6.  6166 

7.56i8 

8.5071 

.3620 

23 

o.945i 

.8002 

2.8353 

3.7804 

4-7255 

5.6706 

6.6157 

7.5608 

8.5059 

•  3619 

24 

0.9450 

.8899 

2.8349 

3-7799 

4.7248 

5.6698 

6.6148 

7-5597 

8.5047 

.3618 

25 

0.9448 

.8897 

2.8345 

3-7793 

4.7242 

5.6690 

6.6139 

7.5587 

8.5035 

.3618 

26 

0-9447 
0.9446 
0.9444 

.8894 

2.8341 
2.8337 
2.8333 

3-7788 
3-7783 
3-7778 

4.7235 
4.7229 
4.7222 

5.6682 
5.6674 
5.6667 

6.6129 
6.6120 
6.6111 

7-5576 
7-5566 

7-5555 

8.5023 
8.t;oi2 
8.5000 

.3617 
.3616 
.3615 

29 

0-9443 

8886 

2.8329 

3-7772 

4.7216 

5-6659 

6.6102 

7-5545 

8.4988 

.3614 

30 

0.9442 

:8884 

2.8325 

3.7767 

4.7209 

5.6651 

6.6093 

7-5534 

8-4976 

•3613 

31 

0.9440 

.8881 

2.8321 

3.7762 

4.7202 

5.6643 

6.6083 

7.5524 

8.4964 

.3612 

32 

0-9439 

.8878 

2.8317 

3-7757 

4.7196 

5-6635 

6.6074 

7.5513 

8.4952 

.3611 

33 

0.9438 

.8876 

2.8313 

3-7751 

4.7189 

5.6627 

6.6065 

7.5503 

8.4940 

.3610 

34 

0.9436 

.8873 

2.8309 

3.7746 

4.7182 

5-6619 

6.6055 

7-5492 

8.4928 

.3600 

35 

0-9435 

.8870 

2.8306 

3-7741 

4.7176 

5.6611 

6.6046 

7.548i 

8.4917 

.3608 

36 

0.9434 

.8868 

2.8302 

3-7735 

4.7169 

5-6603 

6.6037 

7-5471 

8.4905 

.3607 

37 

0-9433 

.8865 

2.8298 

3-7730 

4-7163 

5-6595 

6.6028 

7.546o 

8.4&J3 

.3606 

3* 

0.9431 

.8862 

2.8294 

3-7725 

4-7I56 

5.65»7 

6.  6018 

7-5449 

.3605 

39 

0.9430 

.8860 

2.8290 

3-7719 

4-7149 

5-6579 

6.6009 

7-5439 

Sijseg 

.3604 

40 

0.9429 

.8857 

2.8286 

3-7714 

4-7143 

5.6571 

6  .  6000 

7.5428 

8.4857 

•  3603 

41 

0.9427 

.8854 

2.8282 

3-7709 

4-7I36 

5.6563 

6.5990 

7.5418 

8.4845 

.3602 

42 

0.9426 

.8852 

2.8278 

3-7703 

4.7129 

5-6555 

6.5981 

7.5407 

8.4833 

.3602 

43 

0.9425 

.8849 

2.8274 

3.7698 

4-7123 

5-6547 

6.5972 

7.5396 

8.4821 

.3601 

44 

0.9423 

.8846 

2.8270 

3.7693 

4.7116 

5-6539 

6.5962 

7.5385 

8.4809 

.3600 

45 

0.9422 

.8844 

2.8265 

3.7687 

4.7109 

5.653i 

6-5953 

7-5375 

8  .  4796 

•  3599 

46 

0.9420 

.8841 

2.8261 

3.7682 

4.7102 

5-6523 

6-5943 

7.5364 

8.4784 

•3598 

47 

0.9419 

.8838 

2.8257 

3.7677 

4.7096 

^•6515 

6-5934 

7-5353 

8-4772 

•  3597 

48 

0.9418 

.8836 

2.8253 

3-7671 

.7089 

5.6507 

6.5925 

7-5342 

8.4760 

.3596 

49 

0.9416 

•8833 

2.8249 

3-7666 

.7082 

5.6499 

6.5915 

7-5332 

8.4748 

•  3595 

50 

0.9415 

.8830 

2.8245 

3-7660 

.7076 

5.6491 

6.5906 

7-5321 

8.4736 

•  3594 

Si 

0.9414 

.8828 

2.8241 

3.7655 

.7069 

5-6483 

6.5896 

7-5310 

8.4724 

•3593 

52 

0.9412 

.8825 

2.8237 

3-7650 

.7062 

5.6474 

6.5887 

7.5299 

8.4712 

-3592 

53 

0.9411 

.8822 

2.8233 

3-7644 

•  7055 

5.6466 

6.5877 

7.5288 

8.4699 

-3591 

54 

0.9410 

.8819 

2.8229 

3-7639 

.7048 

5-6458 

6.<;868 

7.5278 

8.4687 

.3590 

II 

o  .  9408 
0.9407 

.8817 
.8814 

2.8225 
2.8221 

3.7633 
3.7628 

.7042 

4.7035 

5-6450 
5.6442 

6.5858 
6.5849 

7-5267 
7.5256 

8.4675 
8.4663 

•35p 

57 

o  .  9406 

.8811 

2.8217 

3-7623 

4.7028 

5.6434 

6.5839 

7.5245 

%-*£l 

<35^ 

58 

0.9404 

.8809 

2.8213 

3.7617 

4.7021 

5.6426 

6.58^0 

7.5234 

8.4638 

-3586 

59 

0.9403 

8806 

2.8209 

3.7612 

4.7015 

5.6418 

6.5820 

7.5223 

8.4626 

.3585 

60 

0.9402 

!88o3 

2.8205 

3.76o6 

4.7008 

5.6409 

6.5811 

7.5212 

8.4614 

.3584 

HEIGHTS. 


13° 


1 

2 

3 

4 

5 

6 

7 

8 

9 

b 

' 

0.2189 

0.4378 

0.6566 

0.8755 

0944 

•  3133 

i  5322 

7510 

1.9699 

0.3149 

00 

0.2191 

0.4383 

0.6574 

0.8766 

0957 

.3148 

5340 

753i 

1.9723 

o.3i53 

01 

0.2194 

0.4388 

0.6582 

0.8776 

0970 

.3164 

5358 

7552 

1.9746 

o.3i57 

02 

0.2197 

0.4393 

0.6590 

0.8786 

0983 

.3180 

i  5376 

•  7573 

1.9769 

0.3161 

03 

0.2199 

0.4398 

0.6598 

0.8797 

.0996 

.3195 

5394 

•  7594 

1-9793 

0.3165 

04 

0.2202 

0.4404 

0.6605 

0.8807 

.1009 

.3211 

5413 

7614 

1.9816 

0.3169 

05 

O.2204 

0.4409 

0.6613 

0.8818 

1022 

.3226 

543i 

.7635 

1.9840 

06 

0.2207 

0.4414 

0.6621 

0.8828 

.1035 

.3242 

5449 

.7656 

1.9863 

o.3i77 

07 

O.22IO 

0.4419 

0.6629 

0.8838 

.1048 

.3258 

•  ^467 

.7677 

1.9887 

0.3181 

08 

0.2212 

0.4425 

0.6637 

0.8849 

.I06I 

•  3274 

.5486 

.7698 

1.9911 

0.3185 

09 

0.2215 

0.4430 

0.6645 

0.8860 

.1074 

.3289 

•  5504 

.7719 

1-9934 

0.3189 

10 

0.2217 

0.4435 

0.6652 

0.8870 

.1087 

•  3305 

.5522 

.7740 

1-9957 

o.3i93 

ii 

0.2220 

0.4440 

0.6660 

0.8880 

.1100 

•  3321 

•  5541 

.7761 

1.9981 

o.3i97 

12 

0.2223 

0.4445 

0.6668 

0.8891 

.1113 

•  3336 

•5559 

.7782 

2.0004 

0.3201 

13 

0.2225 

0.4451 

0.6676 

0.8901 

.1126 

•  3352 

•  5577 

.7802 

2.0028 

0.3205 

M 

0.2228 

0.4456 

0.6684 

0.8912 

•  1139 

.3367 

•  5595 

.7823 

2.0051 

0.3209 

15 

0.2230 

0.4461 

0.6691 

0.8922 

.1152 

.3383 

•56i3 

.7844 

2.0074 

0.3213 

16 

0.2233 

0.4466 

0.6699 

0.8932 

.1165 

•3399 

.5632 

.7865 

2.0098 

0.3217 

17 

o  .  2236 

0.4471 

0.6707 

0.8943 

.1178 

•  3414 

•  5650 

.7886 

2.0121 

0.3221 

18 

0.2238 
0.2241 

0.4477 
0.4482 

0.6715 
0.6723 

0.8953 
0.8964 

.1191 
.1204 

•  3430 
•3445 

.5668 
.5686 

.7906 
.7927 

2.0145. 
2.0168 

0.3225 
0.3229 

19 

20 

0.2243 

0.4487 

0.6730 

0.8974 

.1217 

•  3460 

.5704 

•  7947 

2.0I9I 

0.3232 

21 

0.2246 

0.4492 

0.6738 

0.8984 

.1230 

•  3476 

.5722 

.7968 

2.0214 

0.3236 

22 

0.2249 

0.4497 

0.6746 

0.8994 

.1243 

•3492 

.5740 

.7989 

2.0237 

0.3240 

23 

0.2251 

0.4502 

0.6754 

0.9005 

.1256 

•3507 

•  5758 

.8010 

2.026l 

0.3244 

24 

0.2254 

0.4508 

0.6761 

0.9015 

.  1269 

•3523 

•  5777 

.8030 

2  .  0284 

0.3248 

25 

0.2256 

0.4513 

0.6769 

0.9026 

.1282 

•3538 

•  5795 

.8051 

2.0308 

0.3252 

26 

0.2259 

0.4518 

0.6777 

0.9036 

.1295 

•  3554 

•  5813 

.8072 

2.0331 

0.3256 

27 

o  .  2262 

0.4523 

0.6785 

0.9046 

.1308 

•3570 

•  5831 

.8093 

2.0354 

0.3260 

28 

o  .  2264 
0.2267 

0.4528 
0.4534 

0.6793 
0.6800 

0.9057 
0.9067 

.1321 

.1334 

•3585 
.3601 

.5849 
.5868 

.8114 
.8134 

2.0378 
2.O40I 

0:3268 

29 
30 

0.2269 

0.4539 

0.6808 

0.9078 

.1347 

.3616 

.5886 

.8155 

2.0424 

0.3272 

31 

0.2272 

0.4544 

0.6816 

0.9088 

.1360 

•3631 

.5904 

.8i75 

2.0447 

32 

0.2275 

0.4549 

0.6824 

0.9698 

•  1373 

.3647 

.5922 

.8196 

2.0471 

o  .  3280 

33 

0.2277 

0.4554 

0.6831 

0.9108 

.1385 

.3663 

•5940 

.8217 

2.0494 

0.3284 

34 

o  .  2280 

0.4559 

0.6839 

0.9119 

.1398 

.3678 

•5958 

.8238 

2.0517 

0.3288 

35 

0.2282 

0.4565 

0.6847 

0.9129 

.1411 

•  3694 

.5976 

.8258 

2.0541 

0.3292 

36 

0.2285 
1  0.2287 

0.4570 
0.4575 

0.6855 
0.6862 

0.9140 
0.9150 

.1424 

.1437 

•  3709 
•3725 

•5994 
.6012 

.8279 
.8300 

2.0564 
2.0587 

0.3296 
0.3300 

I 

1  0.2290 

0.4580 

0.6870 

0.9160 

.1450 

•  3740 

.6030 

.8320 

2.0610 

o  .  3304 

39 

0.2293 

0.4585 

0.6878 

0.9170 

.1463 

•  3756 

.6048 

.8341 

2.0633 

0.3308 

40 

0.2295 

0.4590 

0.6886 

0.9181 

.1476 

•  3771 

.6066 

.8361 

2.0657 

0.3312 

4i 

o  .  2298 

0.4596 

0.6893 

0.9191 

.1489 

.3787 

.6085 

.8382 

2.0680 

0.3316 

42 

0.2300 
0.2303 

0.4601 
0.4606 

0.6901 
0.6909 

0.9202 
0.9212 

.1502 
.1515 

.3802 
.38i7 

.6103 
.6121 

.8403 
.8423 

2.0703 
2.0726 

0.3320 

0.3324 

43 
44 

0.2306 

0.4611 

0.6917 

0.9222 

.1528 

.3833 

•  6i39 

.8444 

2.0750 

0.3328 

45 

0.2308 

0.4616 

0.6924 

0.9232 

•  I54I 

.3849 

.6157 

.8465 

2.0773 

0.3331 

46 

0.2311 

0.4621 

0.6932 

0.9243 

.3864 

•  6i75 

.8486 

2.0796 

0.3335 

47 

0.2313 

o  .  4626 

0.6940 

0.92^3 

.  1566 

.3879 

•  6193 

.8506 

2.0819 

0.3339 

48 

0.2316 

0.4632 

0.6947 

0.9263 

•  1579 

.3895 

.6211 

.8527 

2.0842 

0.3343 

49 

0.2318 

0.4637 

0.6955 

0.9274 

.1592 

•3910 

.6229 

.8547 

2.0866 

0.3347 

50 

0.2321 

0.4642 

0.6963 

0.9284 

.1605 

.3926 

.6247 

.8568 

2.0889 

0.3351 

51 

0.2324 

0.4647 

0.6971 

0.9294 

.1618 

.3941 

.6265 

.8588 

2.0912 

0.3355 

52 

0.2326 

0.4652 

0.6978 

0.9304 

.1630 

•  3957 

.6283 

.8609 

2.0935 

0.3359 

53 

0.2329 

0.4657 

0.6986 

0.9315 

.1643 

•  3972 

.6301 

.8630 

2.0958 

^•3363 

54 

0.2331 

o  .  4662 

0.6994 

0.9325 

.1656 

.3987 

•6319 

.8650 

2.0981 

0.3367 

55 

0-2334 

0.4668 

0.7001 

0-9335 

.1669 

.4003 

•  6337 

.8670 

2.1004 

0-3371 

56 

0.2336 

0.4673 

0.7009 

0.9346 

.1682 

.4018 

•  6355 

.8691 

2.1027 

0-3375 

57 

0.2339 

0.4678 

0.7017 

0.9356 

.1695 

•4033 

•6373 

.8711 

2.1050 

0-3379 

58 

0.2342 

0.4683 

0.7025 

0.9366 

.1708 

.4049 

.6391 

.8732 

2.1074 

0.3383 

59 

0.2344 

0.4688 

0.7032 

0.9376 

.1720 

.4065 

.6409 

•  8753 

2.1097 

0.3387 

60 

14' 


DISTANCES. 


f 

1 

2 

a 

4 

5 

6 

7 

8 

9 

a 

00 

0.9402 

.8803 

2.8205 

3.76o6 

4-7008 

5.6409 

6.5811 

7.5212 

8.4614 

•3584 

01 

0.9400 

.8800 

2.8201 

3.76oi 

4.7001 

5.6401 

6.5801 

7.5202 

8.4602 

•  3583 

02 

0-9399 

.8798 

2.8196 

3-7595 

14.6994 

5-6393 

6.5792 

7.5191 

8.4589 

.3582 

03 

0-9397 

.8795 

2.8192 

3-7590 

4-6987 

5.6385 

6.5782 

7.5180 

8-4577 

•  358i 

04 

05 

0.9396 
0-9395 

.8792 
-8789 

2.8188 
2.8184 

3.7584 
3-7579 

4.6980 
4.6974 

5.6376 
5-6368 

6.5773 
6.5763 

7.5169 

7.5i58 

8.4565 

8.4552 

.3580 
•  3579 

06 

07 

0-9393 
0-9392 

•  8787 
•8784 

2.8180 
2.8176 

i:88 

4.6967 
4.6960 

5-6360 
5.6352 

6-5753 
6-5744 

7'5i36 

8.4540 
8.4528 

.3578 
•  3577 

08 

o  .  9391 

^8781 

2.8172 

3-7562 

4-6953 

5-6344 

6-5734 

7.5125 

8.4515 

•  3576 

09 

0.9309 

.8778 

2.8168 

3-7557 

!4-6946 

5-6335 

6.^725 

7-5"4 

8.4503 

•3575 

10 

0.9388 

.8776 

2.8164 

3-7551 

4.6939 

5.6327 

6.5715 

7.5103 

8.4491 

•  3574 

1  1 

0.9386 

•  8773 

2.8159 

3.7546 

4.6932 

5-6319 

6-5705 

7.5092 

8.4478 

•  3573 

12 

0.9385 

.8770 

2.8155 

3-7540 

4.6925 

6.5696 

7.5081 

8.4466 

•3572 

13 

0.9384 

.8767 

2.8151 

3-7535 

4-6918 

5-6302 

6.5686 

7.5070 

8-4453 

•3571 

0.9382 

.8765 

2.8147 

4-6912 

5.6294 

6.5676 

7.5058 

8.4441 

•357o 

15 

0.9381 

.8762 

2.8143 

3-7524 

5.6286 

6.5666 

7-5047 

8.4428 

16 

0.9380 

.8759 

2.8139 

4  6898 

5-6277 

6-5657 

7.5036 

8.4416 

•3568 

17 

0.9378 

.8756 

2.8134 

3.7513 

4.6891 

5.6269 

6.5647 

7.5025 

8.4403 

•  3567 

l8 

0-9377 

•8754 

2.8130 

3-7507 

14.6884 

5.6261 

6.5637 

7.5014 

8.4391 

•3566 

19 

0-9375 

.8751 

2.8126 

3-7501 

4-6877 

5-6252 

6.5628 

8.4378 

•3565 

2O 

0-9374 

-874& 

2.8122 

3-7496 

4.6870 

5-6244 

6.5618 

7^4992 

8.4366 

.3564 

21 

0-9373 

.8745 

2.8118 

3-7490 

4-6863 

5.6235 

6.5608 

7.4981 

8-4353 

•3563 

22 

0-9371 

.8742 

2.8114 

3-7485 

'4.6856 

5.6227 

6.5598 

7.4969 

8.4341 

.3562 

23 

o.937o 

.8740 

2.8109 

3-7479 

4.6849 

5.6219 

6-5588 

7.4958 

8.4328 

•356i 

24 

0.9368 

-8737 

2.8105 

3-7474 

4.6842 

5.6210 

6-5579 

7-4947 

8.4315 

.3560 

0.9367 

-8734 

2.8101 

3.7468 

4.6833 

5.6202 

6.5569 

7.4936 

8.4303 

•3559 

26 

0.9366 

-8731 

2.8097 

3.7462 

4.6828 

5-6i93 

6-5559 

7.4925 

8.4290 

•  355» 

27 

0.9364 

.8728 

2  .  8093 

3-7457 

4.6821 

5-6185 

6-5549 

7.4913 

8.4278 

•  3557 

28 

0.9363 

.8726 

2  .  8088 

3-7451 

4.6814 

5.6i77 

6-5539 

8.4265 

•  3556 

29 

o.936i 

.8723 

2.8084 

3-7445 

.6807 

5.6168 

6-5530 

7.4891 

8.4252 

•3555 

30 

0.9360 

.8720 

2.8080 

3-7440 

.6800 

5.6160 

6.5520 

7.4880 

8.4240 

•3554 

31 

0-9359 

.8717 

2.8076 

3-7434 

.6793 

5.6151 

6.5510 

7.4868 

8.4227 

-3553 

32 

0-9357 

.8714 

2.8071 

t  .6786 

5-6i43 

6.5500 

7.4857 

8.4214 

-3552 

33 

0-9356 

.8711 

2.8067 

3  .  7423 

•  6779 

5-6134 

6.5490 

7.4846 

8.4202 

•3551 

34 

0-9354 

.8709 

2.8063 

3.74I7 

.6772 

5.6126 

6.5480 

7.4834 

8.4189 

•3550 

i 

0-9353 
0-935X 

.8706 
.8703 

2.8059 
2.8054 

3-7412 
3.7406 

.6764 
•  6757 

5.6117 
5.6109 

6-5470 
6.5460 

7-4823 

8.4176 
8.4163 

•3549 
.3548 

1 

o.935o 
0.9349 

.8700 
.8697 

2!  8046 

3.7400 
3-7395 

•  6750 
•6743 

5.6100 
5.6092 

6.5450 
6.5441 

7^4801 
7.4789 

8.4151 
8.4138 

•  3547 
.3546 

39 

o  9347 

.8694 

2.8042 

3.7389 

.6736 

5-6083 

6.5431 

7-4778 

8.4125 

•3545 

40 

0.9346 

.8692 

2.8037 

3-7383 

.6729 

5.6o75 

6.5421 

7.4767 

8.4112 

.3544 

4i 

0-9344 

.8689 

2.8033 

3-7378 

4.6722 

5.6066 

6.54" 

7-4755 

8.4100 

•  3543 

42 

0-9343 

.8686 

2.8029 

3-7372 

4.6715 

5-6058 

6.5401 

7-4744 

8.4087 

•  3542 

43 

0.9342 

.8683 

2.8025 

3-7366 

4.6708 

5.6049 

6-5391 

7-4732 

8.4074 

•3541 

44 

0.9340 

.8680 

2.8020 

3-736o 

4.6701 

5.6041 

6.5381 

7-4721 

8.4061 

•  3540 

45 

0-9339 

.8677 

2.  8oi6 

3-7355 

5-6032 

6-5371 

8.4048 

•  3539 

46 

0-9337 

.8674 

2.  8012 

3-7349 

4  .  6686 

5.6023 

6.536i 

7  .  4698 

8.4035 

•3538 

47 

0-9336 

.8672 

2.8007 

3-7343 

4.6679 

5-6015 

6.5351 

7  .  4686 

8  4022 

•  3537 

48 

0-9334 

.8669 

2.8003 

3-7338 

4.6672 

5.6006 

6.5341 

7.4675 

8.4009 

•3536 

49 

0-9333 

.8666 

2-7999 

3-7332 

4.6665 

5.5998 

6.5331 

7.4664 

8.3997 

•3535 

5o 

0-9332 

.8663 

2.7995 

3.7326 

4.6658 

5.5989 

6.5321 

7.4652 

8.3984 

•3534 

51 

0-9330 

.8660 

2.7990 

3-7320 

4.6650 

5.5980 

6-53" 

7.4641 

8-3971 

•3533 

52 

0.9329 

-8657 

2.7986 

3-7315 

4-6643 

5-5972 

6.5300 

7.4629 

8-3958 

•3531 

53 

0.9327 

.8654 

2.7982 

3-7309 

4-6636 

6.5290 

7-4618 

8-3945 

•  3530 

54 

0.9326 

.8651 

2.7977 

3-7303 

4.6629 

5  '5954 

6.5280 

7.4606 

8-3932 

•3529 

55 

0-9324 

.8649 

2-7973 

3-7297 

4  6621 

5-5946 

6.5270 

7-4594 

8.3919 

.3528 

56 

0-9323 

.8646 

2.7969 

3-7291 

4.6614 

5-5937 

6.5260 

7.4583 

8.3906 

•3527 

57 

0.9321 

-8643 

2.7964 

3-7286 

4.6607 

5.5928 

6.5250 

7-4571 

8.3893 

-3526 

58 

0.9320 

.8640 

2.7960 

3-7280 

4.6600 

5.5920 

6.5240 

7.456o 

8.388b 

1-3525 

59 

0.9319 

-8637 

2-7956 

3-7274 

4-6593 

5-59H 

6.5230 

7.4548 

8.3867 

•3524 

60 

0.9317 

.8634 

2-7951 

3-7268 

5.5902 

6.5219 

7-4537 

8.3854 

1-3523 

HEIGHTS. 


14' 


1 

2 

3 

4 

& 

6 

7 

8 

9 

b 

' 

0.2344 

0.4688 

0.7032 

0.9376 

.1720 

i  .  4065 

1.6409 

1.8753 

2.1097 

0.3387 

00 

0.2347 

0.4693 

0.7040 

0.9386 

-1733 

1.4080 

1.6426 

1.8773 

2.1120 

0.3391 

OI 

0.2349 

0.4698 

0.7048 

0-9397 

.1746 

1-4095 

1.6444 

1.8794 

2.II43 

0-3395 

02 

0.2352 

0.4704 

0.7055 

0.9407 

•1759 

1.4111 

1.6462 

1.8814 

2.II66 

0-3399 

03 

0.2354 

0.4709 

0.7063 

0.9417 

.1772 

1.4126 

1.6480 

1-8834 

2.II89 

0.3403 

04 

0.2357 

0.4714 

0.7071 

o  .  9428 

.1785 

1.4141 

1.6498 

1.8855 

2.I2I2 

0.3407 

05 

0.2359 

0.4719 

0.7078 

0.9438 

.1797 

1.4156 

i.65i6 

1.8875 

2.1235 

0.3411 

06 

0.2362 
0.2365 

0.4724 
0.4729 

0.7086 
0.7094 

0.9448 
0.94^8 

.1810 
.1823 

1.4172 
1.4188 

1-6534 
1.6552 

1.8896 
1.8917 

2.1258 
2.I28I 

0.3414 
0.3418 

07 
08 

0.2367 

0.4734 

0.7101 

0.9468 

.1836 

1-4203 

1.6570 

1.8937 

2.1304 

0.3422 

09 

0.2370 

0.4739 

0.7109 

0.9479 

.1848 

1.4218 

1.6588 

1.8958 

2.1327 

0.3426 

10 

0.2372 

0.4744 

0.7117 

0.9489 

.1861 

1-4233 

i.  6606 

1.8978 

2.1350 

0-3430 

ii 

0.2375 

0.4750 

0.7124 

0-9499 

.1874 

1.4249 

1.6624 

1.8998 

2.1373 

0-3434 

12 

0.2377 

0.4755 

0.7132 

0.9509 

.1887 

1.4264 

1.6641 

1.9018 

2.1396 

0.3438 

13 

0.2380 

0.4760 

0.7140 

0.9520 

.1899 

1.4279 

1.6659 

1-9039 

2.1419 

0.3442 

14 

0.2382 

0.4765 

0.7147 

0-9530 

.1912 

1.4295 

1.6677 

1.9060 

2.1442 

0.3446 

15 

0.2385 
0.2388 

0.4770 

0-4775 

o.7i55 
0.7163 

0.9540 
0.9550 

.1925 
-I938 

1.4310 
1.4326 

1.6695 
1.6713 

1.9080 
1.9101 

2.1465 
2.1488 

0.3450 
0-3454 

16 
i7 

0.2390 

0.4780 

0.7170 

0.9560 

.1951 

I-434I 

1.6731 

1.9121 

2.I5II 

0.3458 

18 

0.2393 
0.2395 

0-4785 
0.4790 

0.7178 
0.7186 

0.9571 
0.9581 

.1963 
•  1976 

1-4356 
i  -4371 

1.6749 
1.6767 

1.9142 
1.9162 

2.1534 
2.1557 

0.3462 
0.3466 

19 

20 

0.2398 

0.4796 

0.7193 

0-9591 

•1989 

1.4387 

1.6785 

1.9182 

2.1580 

o.347o 

21 

0.2400 

0.2403 

0.4801 
0.4806 

o  .  7201 
0.7209 

o  .  9601 
0.9611 

.2002 
.2014 

1.4402 
1.4417 

i  ;  6820 

i  .  9202 
1.9223 

2.l6o3 
2.1626 

0-3474 
0.3478 

22 
23 

0.2405 

0.4811 

0.7216 

0.9622 

.2027 

i  .  4432 

1.6838 

1.9243 

2.1648 

0.3482 

24 

0.240§ 

0.4816 

0.7224 

0.9632 

.2040 

1.4448 

1.6856 

1.9264 

2.I67I 

0.3485 

25 

0.2411 

0.4821 

0.7232 

0.9642 

•2053 

1.4463 

1.6874 

1.9284 

2.1694 

0.3489 

26 

0.2413 

0.4826 

0.7239 

0.9652 

.2065 

1-4478 

1.6891 

1.9304 

2.I7I7 

0-3493 

27 

0.2416 

0.4831 

0.7247 

o  .  9662 

.2078 

1.4494 

1.6909 

1-9325 

2.1740 

0-3497 

28 

0.2418 

0.4836 

0.7254 

0.9672 

.2O9I 

I.4509 

1.6927 

1-9345 

2.1763 

0.3501 

29 

0.2421 

0.4841 

0.7262 

0.9683 

.2103 

1.4524 

1.6945 

1.9366 

2.1786 

o.35o5 

30 

0.2423 

0.4846 

0.7270 

0.9693 

.2Il6 

1-4539 

1.6962 

1.9386 

2.1809 

0.3509 

31 

0.2425 
0.2428 

0.4851 
0.4857 

0.7277 
0.7285 

0.9703 
0.9713 

.2129 
.2141 

1-4554 

1.4570 

1.6980 
1.6998 

1.9406 
1.9426 

2.1832 

2.1855 

o.35i3 
o.35i7 

32 

33 

0.2431 

0.4862 

0.7292 

0.9723 

.2154 

1.4585 

1.7016 

1.9446 

2.1877 

0.3521 

34 

0.2433 

0.4867 

0.7299 

0.9733 

.2166 

1.4600 

1.7033 

1.9466 

2.1900 

0.3525 

0.2436 

0.4872 

0.7307 

0.9743 

•  2179 

1.4615 

1.7051 

1.9487 

2.1923 

0.3529 

36 

0.2438 

0.4877 

0.7315 

0.9754 

.2192 

1.4630 

1.7069 

1-9507 

2.1946 

0-3533 

37 

0.2441 

0.4882 

0.7323 

0.9764 

.2205 

i  .  4646 

1.7087 

1.9528 

2.1969 

0-3537 

38 

0.2443 

0.4887 

o.733o 

0.9774 

.2217 

1.4661 

1.7104 

1.9548 

2.I99I 

o.354i 

39 

0.2446 

0.4892 

0.7338 

0.9784 

.2230 

1.4676 

1.7122 

1.9568 

2.2014 

0-3545 

40 

0.2449 

0.4897 

0.7346 

0.9794 

.2243 

1.4691 

1.7140 

1.9588 

2.2037 

0-3549 

4i 

0.2451 

0.2454 

0.4902 
0.4907 

0.7353 
0.7361 

0.9804 
0.9814 

•2255 

2268 

1.4706 
1.4722 

1.7157 

1.7175 

1.9608 
1.9629 

2.2059 
2.2082 

0-3553 
0-3556 

42 
43 

0.2456 

0.4912 

0.7368 

0.9824 

.2281 

1-4737 

1.7193 

1.9649 

2.2105 

0.3560 

41 

0.2459 

0.4917 

0.7376 

0.9835 

2294 

1.4752 

1.7211 

1.9670 

2.2128 

0.3564 

45 

0.2461 

0.4922 

0.7384 

0.9845 

2306 

1.4767 

1.7228 

1.9690 

2.2I5I 

0-3568 

46 

0.2464 

0.4927 

o.739i 

0.9855 

2319 

1.4782 

1.7246 

1.9710 

2.2173 

0.3572 

47 

0.2466 

0.4932 

0.7399 

0.9865 

2331 

1-4797 

1.7263 

1-9730 

2.2196 

0-3576 

48 

0.2469 

0.4938 

0.7406 

2344 

1.4813 

1.7281 

1-9750 

2.2219 

0.3580 

49 

0.2471 

0-4943 

0.7414 

0.9885 

.2357 

1.4828 

1.7299 

1.9770 

2.2242 

0.3584 

50 

0.2474 

0.4948 

0.7421 

0.9895 

2369 

1.4843 

1.7317 

1.9790 

2.2264 

0.3588 

51 

0.2476 

0-4953 

0.7429 

0.9905 

2382 

1-4858 

1-7334 

1.9810 

2.2287 

0-3592 

52 

0.2479 

0.4958 

0-7436 

0.9915 

2394 

1.4873 

1-7352 

i  .  9831 

2.2310 

0.3596 

53 

0.2481 

0.4963 

0-7444 

0.9926 

2407 

1.4888 

1-7370 

1.9851 

2.2333 

0.3600 

54 

0.2484 

0.4968 

0.7452 

0.0936 

2420 

1.4903 

1.7387 

1.9871 

2.2355 

o.  3604 

55 

o  .  2486 

0-4973 

0-7459 

0.9946 

.2432 

1.4918 

1.7405 

1.9891 

2.2378 

0.3608 

56 

0.2489 

0.4978 

o.74b7 

0.0956 

.2445 

1.4933 

1.7422 

1.9911 

2  .  2400 

0.3612 

57 

0.2491 
0.2494 

0.4983 
0.4988 

0.7474 
0.7482 

0.9966 

.2457 
.2470 

1.4949 
1.4964 

1.7440 
1.7458 

1-9932 
1-9952 

2.2423 
2.2446 

0.3616 
0.3620 

58 
59 

0.2497 

0-4993 

0.7490 

0.9986 

.2483 

1-4979 

1.7476 

1.9972 

2.2469 

0.3623 

DO 

15' 


DISTANCES. 


r 

1 

2 

3 

4 

5 

6 

7 

8 

9 

a 

oo 

o.93i7 

1.8634 

2.7951 

3-7268 

4.6585 

5  .  59°2 

6.5219 

7-4537 

8.3854 

•3523 

01 

0.9316 

1.8631 

2.7947 

3.7262 

4.6578 

5  -5»94 

6.5209 

7.4525 

8.3840 

.3522 

02 

o.93i4 

1.8628 

2.7942 

3-7257 

4-6571 

5-5885 

6.5199 

7.4513 

8.3827 

•  3521 

03 

0.9313 

1.8625 

2.7933 

3-725I 

4.6563 

5.5876 

6.5189 

7.4502 

8.3814 

•3520 

04 

0.9311 

i  .  8622 

2-7934 

3.7245 

4.6556 

5.5867 

6.5i79 

7-4490 

8.3801 

•3519 

05 

0.9310 

1.8620 

2.7929 

3-7239 

.6549 

5.5859 

6.5168 

7.4478 

8.3788 

-3518 

06 

0.9308 

1.8617 

2.7925 

3.7233 

.6542 

5.5850 

6.51*8 

7.4466 

8-3775 

•  35i7 

07 

0.9307 

1.8614 

2.7921 

3.7227 

-6534 

5-5841 

6.5148 

7-4455 

8.3762 

•  35i6 

08 

0.9305 

1.8611 

2.7916 

3.7222 

.6527 

5.5832 

6.5138 

7-4443 

8-3749 

•  35i5 

09 

0.9304 

i.  8608 

2.7912 

3-72i6 

.6520 

5-5824 

6.5128 

7-4432 

8.3736 

•3514 

10 

0.9302 

1.8605 

2.7907 

3-7210 

4-6512 

5.58i5 

6.5H7 

7.4420 

8.3722 

-3513 

ii 

0.9301 

1.8602 

2.7903 

3.7204 

4-6505 

5.5806 

6.5107 

7.4408 

8.3709 

•  3512 

12 

0.9300 

1.8599 

2.7899 

3-7198 

4.6498 

5-5797 

6.5097 

7-4396 

8.3696 

.3511 

13 

0.9298 

1.8596 

2.7894 

3-7192 

4.6490 

5-57S8 

6.5086 

7-4384 

8.3682 

•3510 

14 

0.9297 

1-8593 

2.7890 

3-7186 

4-6483 

5-5779 

6.5076 

7-4373 

8  .  3669 

.3^09 

15 

0.9295 

1-8590 

2.7885 

3.7i8o 

4.6476 

5-5771 

6.5066 

7.436i 

8  .  3656 

-35o8 

16 

0.9294 

1.8587 

2.7881 

3-7175 

4.6468 

5-5762 

6.5o55 

7-4349 

8.3643 

•  3507 

17 

0.9292 

1.8584 

2.7876 

3-7169 

4.6461 

5-5753 

6.5045 

7.4337 

8.3629 

.3506 

18 
19 

l'.gZ& 

1.8581 
1.8578 

2.7872 
2.7868 

3.7163 
3-7157 

4.6446 

5-5744 
5-5735 

6.5035 
6.5024 

7.4325 
7.4314 

8.3616 
8.3603 

•  3504 
•  3503 

20 

0.9288 

1.8575 

2.7863 

3.7151 

4.6439 

5-5726 

6.5014 

7.4302 

8.3590 

.3502 

21 

0.9286 

1.8572 

2.7859 

3.7145 

4-6431 

5-5717 

6.5004 

7.4290 

8.3576 

.3501 

22 

0.9285 

1.8570 

2.7854 

3.7139 

4.6424 

5-5709 

6-4993 

7.4278 

8.3563 

.3500 

23 

0.9283 

1.8567 

2.7850 

3.7133 

4.6416 

5-5700 

6.4983 

7.4266 

8.3549 

24 

0.9282 

1.8564 

2.7845 

3-7127 

4.6409 

5.5691 

6.4972 

7.4254 

8.3536 

•  3498 

25 

0.9280 

1.8561 

2.7841 

3-7I2I 

4.6401 

5-5682 

6.4962 

7.4242 

8.3523 

•3497 

26 

0.9279 

1.8558 

2.7836 

3-7II5 

4-6394 

5-5673 

6.4952 

7.4230 

8.3509 

-3496 

27 

0.9277 

1.8555 

2.7832 

3-7109 

4-6387 

5-5664 

6.4941 

7.4218 

8.3496 

•3495 

28 

0.9276 

1.8552 

2.7827 

3-7io3 

4.6379 

5.5655 

6-4931 

7.4207 

8.3482 

•3494 

29 

0.9274 

1.8549 

2.7823 

3.7097 

4.6372 

5-5646 

6.4920 

7.4195 

8.3469 

-3493 

3o 

0.9273 

1.8546 

2.7819 

3-7091 

4-6364 

5.5637 

6  .  4910 

7-4183 

8.345$ 

•3491 

3i 

0.9271 

1.8543 

2.7814 

3.7o85 

4-6357 

5.5628 

6.4899 

7.4I7I 

8.3442 

•  3490 

32 

0.9270 

1.8540 

2.7809 

3-7079 

4-6349 

5.56i9 

6.4889 

7.4159 

8.3428 

•34o9 

33 

0.9268 

1.8537 

2.7805 

3-7073 

4-6342 

5.56io 

6.4878 

7.4147 

8.3415 

3488 

34 

0.9267 

1.8534 

2.7800 

3-7o67 

4-6334 

5.56oi 

6.4868 

7.4135 

8.3401 

.3487 

35 

0.9265 

'•§53£ 

2.7796 

3-7o6i 

4-6327 

5-5592 

6.4857 

7-4123 

§.3388 

.3486 

36 

0.9264 

1.8528 

2.7791 

3-7055 

4-6319 

5.5583 

6.4847 

7-4II1 

8.3374 

•3485 

37 

0.9262 

1.8525 

2.7787 

3-7049 

4.6312 

5-5574 

6.4836 

7.4098 

8.3361 

.3484 

38 

0.9261 

1.8522 

2.7782 

3-7043 

4-6304 

5.5565 

6.4826 

7.4086 

8.3347 

•3483 

39 

0.9259 

1.8519 

2.7778 

3-7037 

4.6207 

5-5556 

6.4815 

7.4074 

8.3334 

.3482 

40 

0.9258 

1.8516 

2.7773 

3-7031 

4.6289 

5-5547 

6.4805 

7.4062 

8.3320 

.3480 

4i 

0.9256 

1.8513 

2.7769 

3-7025 

4.6281 

5-5538 

6-4794 

7.4050 

8.3307 

•  3479 

42 

0.9255 

1.8510 

2.7764 

3-7oi9 

4.6274 

5.5529 

6.4783 

7.4038 

8.3293 

•  3478 

43 
44 

0.9253 
0.9252 

1.8506 
1.8503 

2.7760 
2.7755 

3.7oi3 
3.7007 

4.6266 
4.6259 

5-5519 
5-55IQ 

6-4773 
6.4762 

7.4026 
7.4014 

8.3279 
8.3266 

•  3477 
•  3476 

45 

0.9250 

1.8500 

2.7751 

3-7001 

4.6251 

5-5501 

6.4751 

7.4002 

§.3252 

-3475 

46 

0.9249 

1.8497 

2.7746 

3-6995 

4.6243 

5-5492 

6.4741 

7-3990 

8.3238 

•3474 

47 

0.9247 

1.8494 

2.7742 

3.69»9 

4.6236 

5.54»3 

6.4730 

7-3977 

8.3225 

•3473 

48 

0.9246 

1.8491 

2.7737 

3-6983 

4.6228 

5-5474 

6.4720 

7.3965 

8.3211 

•3472 

49 

0.9244 

1.8488 

2.7732 

3-6977 

4.6221 

5.5465 

6.4709 

7-3953 

8.3197 

•  3470 

50 

0.9243 

1.8485 

2.7728 

3.6970 

4-6213 

5-5456 

6.4698 

7-3941 

8.3184 

•3469 

51 

0.9241 

1.8482 

2.7723 

3.6964 

4.6205 

5-5447 

6.4688 

7.3929 

8.3170 

•  3468 

52 

0.9240 

1.8479 

2.7719 

3.6958 

4.6198 

5-5437 

6.4677 

7.39i6 

8.3156 

•3467 

53 

0.9238 

1.8476 

2.7714 

3-6952 

4.6190 

5-5428 

6.4666 

7.3904 

8.3142 

.3466 

54 

0.9236 

1.8473 

2.7709 

3.6946 

4.6182 

5-5419 

6.4655 

7.3892 

8.3128 

-3465 

55 

0.9235 

1.8470 

2.7705 

3.6940 

4.6i75 

5-5410 

6.4645 

7.388o 

8.3115 

•3464 

56 

0.9233 

1.8467 

2.7700 

3-6934 

4.6167 

5-5401 

6.4634 

7.3867 

8.3101 

•3463 

57 

0.9232 

1.8464 

2.7696 

3-6928 

4.6i59 

5-5391 

6.4623 

7.3855 

8.3087 

•  3461 

58 

0.9230 

1.8461 

2.7691 

3-6921 

4-6152 

5.53»2 

6.4613 

7.3843 

8.3073 

•  3460 

59 

0.9228 

1.8458 

2.7686 

3-6915 

4.6144 

5-5373 

6.4602 

7.3831 

•3459 

60 

0.9227 

1.8455 

2.7682 

3.6909 

4.6137 

5.5364 

6.4591 

7.38i8 

8.3046 

•  3458 

HEIGHTS. 


15° 


1 

2 

3 

4 

5 

6 

7 

8 

9 

b 

f 

0.2497 

0.4993 

0.7490 

0.9986 

.2483 

•  4979 

.7476 

1.9972 

2.2469 

0.3623 

oo 

0.2499 

0.4998 

0.7497 

.9996 

•  2495 

•4994 

•7493 

1.9992 

2.2491 

0.3627 

01 

0.2502 

0.5003 

o.75o5 

.0006 

.2508 

.5009 

.7511 

2.0012 

2.2514 

0.3631 

02 

0.2504 

0.5008 

0.7512 

.0016 

.2520 

.5024 

.7528 

2.0032 

2.2536 

0.3635 

03 

0.2507 

0.5013 

0.7520 

.0026 

•2533 

.5040 

•7546 

2.0053 

2.2559 

0.3639 

04 

0.2509 

0.5018 

0.7527 

.0036 

•  2545 

•  5055 

.7564 

2.0073 

2.2582 

0.3643 

05 

0.2512 

0.5023 

0-7535 

.0046 

.2558 

.  5070 

.7581 

2.0093 

2.2604 

0.3647 

06 

0.2515 

o  .  5028 

0.7542 

.0056 

.2570 

.5085 

•7599 

2.0II3 

2  .  2627 

o.36m 

07 

0.2517 

0.5033 

o.755o 

.0066 

.2583 

.5100 

.7616 

2.0133 

2.2649 

0.3655 

08 

0.2519 

0.5038 

0.7557 

.0076 

.2596 

•  5ii5 

•7634 

2.0153 

2.2672 

o  •  3659 

09 

0.2522 

0.5043 

0.7565 

.0086 

.2608 

•5130 

•  7651 

2.0173 

2.2694 

0.3663 

IO 

0.2524 

0.5048 

0.7572 

.0096 

.2621 

•5145 

.7669 

2.0193 

2.2717 

0.3667 

II 

0.2527 

0.5053 

0.7580 

.0106 

•  2633 

.5160 

.7686 

2.0213 

2.2739 

0.3671 

12 

0.2529 

0.5058 

0.7587 

.0116 

.2646 

•  5175 

.7704 

2.0233 

2.2762 

0.3674 

13 

0.2532 

0.5063 

0-7595 

.0126 

.2658 

.5190 

.7721 

2.0253 

2.2784 

o  .  3678 

U 

0.2534 

0.5068 

0.7602 

.0136 

.2671 

.5205 

•  7739 

2.0273 

2.2807 

0.3682 

15 

0.2537 

0.5073 

0.7610 

.0146 

.2683 

.5220 

•  7756 

2.0293 

2  .  2829 

0.3686 

16 

0.2539 

0.5078 

0.7617 

.0156 

.2696 

•5235 

•  7774 

2.0313 

2.2852 

0.3690 

17 

0.2542 

0.5083 

0.7625 

.0166 

.2708 

.5250 

•  7791 

2.0333 

2.2874 

0.3694 

18 

0.2544 

0.5088 

0.7632 

.0176 

.2721 

.5265 

.7809 

2.0353 

2.2897 

0.3698 

19 

0.2547 

0.5093 

o  .  7640 

.0186 

•2733 

.5280 

.7826 

2.0373 

2.2919 

0.3702 

20 

0.2549 

0.5098 

0.7647 

.0196 

.2746 

•5295 

.7§44 

2.0393 

2.2942 

0.3706 

21 

0.2552 

0.5103 

0.7655 

.0206 

.2758 

•5310 

.7861 

2.0413 

2.2964 

0.3710 

22 

0.2554 

0.5108 

0.7662 

.0216 

.2771 

•5325 

.7879 

2.0433 

2.2987 

0.3714 

23 

0.2557 

0.5113 

0.7670 

.0226 

.2783 

•5340 

.7896 

2.0453 

2.3009 

0.3718 

24 

0.2559 

0.5118 

0.7677 

.0236 

.2796 

•  5355 

•7914 

2.0473 

2.3032 

0.3722 

25 

0.2562 

0.5123 

0.7685 

.0246 

.2808 

•  5370 

•  7931 

2.0493 

2.3054 

0.3725 

26 

0.2564 

0.5128 

0.7692 

.0256 

.2821 

•  5385 

•7949 

2.0513 

2.3077 

0.3729 

27 

0.2567 

0.5133 

0.7700 

.0266 

.2833 

.5400 

.7966 

2.0533 

2.3099 

0.3733 

28 

0.2569 

0.5138 

0.7707 

.0276 

.2845 

•  5415 

•7984 

2.0553 

2.3122 

0.3737 

29 

0.2572 

0.5143 

0.7715 

.0286 

.2858 

•  5430 

.8001 

2.0573 

2.3144 

0.3741 

30 

0.2574 
0.2577 

0.5148 

0.5153 

0.7722 
0.7730 

.0296 
.0306 

.2870 
.2883 

•5445 
.546o 

.8019 
.8036 

2.0593 
2.0613 

2.3167 
2.3189 

0.3745 
0.3749 

31 

32 

0.2579 

0.5158 

0.7737 

.0316 

.2895 

•5474 

.8053 

2.0632 

2.32II 

0.3753 

33 

0.2582 

0.5163 

0-7745 

.0326 

.2908 

.5489 

.8071 

2.0652 

2.3234 

0.3757 

34 

0.2584 

0.5168 

0.7752 

•0336 

.2920 

.5504 

.8088 

2.0672 

2.3256 

0.3761 

35 

0.2587 

0.5173 

0.7760 

.0346 

•2933 

•5519 

.8106 

2.0692 

2.3279 

0.3765 

36 

0.2589 

0.5178 

0.7767 

.0356 

.2945 

•5534 

.8123 

2.0712 

2.3301 

0.3769 

0.2591 

0.5183 

0-7774 

.0366 

.2957 

•5549 

.8140 

2.0732 

2.3323 

0.3773 

38 

0.2594 

o.mSS 

0.7782 

.  0376 

.2970 

.5564 

.8158 

2.0752 

2.3346 

0.3776 

39 

0.2596 

o.5i93 

0.7789 

.0386 

.2982 

•5578 

.8175 

2.0771 

2.3368 

0.3780 

40 

0.2599 

0.5198 

0.7797 

.0396 

•2995 

•5593 

.8192 

2.0791 

2-3390 

0.3784 

4i 

0.2601 

0.5203 

0.7804 

.0406 

.3007 

.5608 

.8210 

2.0811 

2.3413 

0.3788 

42 

o  .  2604 

0.5208 

0.7811 

.0416 

.3019 

.5623 

.8227 

2.0831 

2-3435 

0.3792 

43 

0.2606 

0.5213 

0.7819 

.0426 

•3032 

•5638 

.8245 

2.0851 

2.3458 

44 

0.2609 

0.5218 

0.7826 

•  0435 

•  3044 

•  5653 

.8262 

2.0870 

2.3480 

o  .  3800 

45 

0.2611 

0.5223 

0.7834 

.0445 

•3057 

.5668 

.8279 

2  .  0890 

2.3502 

0.3804 

46 

0.2614 

0.5228 

0.7841 

•  0455 

.3069 

•$683 

.8297 

2.0910 

2.3524 

0.3808 

47 

0.2616 

0.5233 

0.7849 

.0465 

.3081 

.5698 

.8314 

2.0930 

2-3547 

0.3812 

48 

0.2619 

0.5237 

0.7856 

.0475 

•3094 

.5712 

.8331 

2.0950 

2.3569 

0.3816 

49 

0.2621 

0.5242 

o  .  7864 

.0485 

.3106 

•  5727 

.8348 

2.0970 

2.3591 

0.3820 

5o 

0.2624 

0.5247 

0.7871 

•  0495 

•  3ii8 

.5742 

.8366 

2.0990 

2.3613 

0.3824 

5i 

0.2626 

0.5252 

0.7879 

.0505 

•3131 

•  5757 

•8383 

2.IOIO 

2.3636 

0.3827 

52 

0*2629 

0.5257 

0.7886 

.0514 

•3143 

.5772 

.8400 

2.1029 

2.36p8 

0.3831 

53 

0.2631 

0.5262 

0.7893 

.0524 

•3155 

.5787 

.8418 

2  .  IO49 

2.3680 

0.3835 

54 

0.2634 

0.5267 

0.7901 

•0534 

.3168 

.5802 

.8435 

2.1069 

2-3702 

0.3839 

55 

o  .  2636 

0.5272 

0.7908 

•0544 

.3180 

.5816 

.8452 

2.1088 

2.3724 

0.3843 

56 

0.2638 

0.5277 

0.7915 

•  0554 

.3192 

•5831 

.8469 

2.1108 

2.3746 

0.3847 

57 

o  .  2641 

0.5282 

0.7923 

.0564 

•3205 

.5846 

.8487 

2.II28 

2.3769 

0.3851 

58 

0.2643 
0.2646 

0.5287 
0.5292 

0.7930 
0.7938 

•  0574 
.0584 

•3217 
•  3230 

.5860 

.5875 

.8504 
.8521 

2.1147 
2.1167 

2-3791 
2.3813 

0.3855 
0.3859 

59 
60 

DISTANCES. 


V 

1 

§ 

3 

4  i 

5 

6 

7 

8 

9 

a 

00 

0.9227 

.8455 

2.7682 

3-6909: 

4-6i37 

5.5364 

6.4591 

7.38i8 

8.3046 

•3458 

01 
02 

0.9226 
0.9224 

.8452 
.8448 

2.7677 
2.7673 

3-6903 
3-6897 

4.6129 
4.6121 

5-5355 
5-5345 

6.4580 
6.4569 

7.38o6 
7-3794 

8.3032 
8.3018 

•3457 
•3456 

03 

0.9223 

.8445 

2.7668 

3.6891 

4-6113 

5-5336 

6-4559 

7.3781 

8.3004 

•3455 

04 

0.9221 

.8442 

2.7663 

3.6884 

4.6106 

5.5327 

6.4548 

7.3769 

8.2990 

•3454 

05 

0.9220 

.8439 

2.7659 

3-6878 

4.6098 

5-5317 

6-4537 

7-3757 

•3453 

06 

0.9218 

.8436 

2.7654 

3-6872 

4.6090 

5.5308 

6.4526 

7-3744 

8.2962 

•3451 

07 

0.9216 

.8433 

2.7649 

3.6866 

4.6082 

5.5299 

6.4515 

7-3732 

8.2948 

•3450 

08 

0.9215 

.8430 

2.7645 

3.6*60 

4.6075 

5.5290 

6.4505 

7.3719 

8.2934 

•3449 

09 

0.9213 

.8427 

2.7640 

3.6854 

4.6067 

5-5280 

6.4494 

7.3707 

8.2920 

.3448 

10 

0.9212 

.8424 

2.7636 

3.6847 

4-6059 

5.5271 

6.4483 

7.3695 

8.2906 

•  3447 

ii 

0.9210 

.8421 

2.7631 

3.6841 

4.6051 

5.5262 

6.4472 

7-3682 

8.2892 

•  3446 

12 

0.9209 

.8417 

2.7626 

3-6835 

4.6044 

5-5252 

6.4461 

7.3670 

8.2878 

•3445 

13 

0.9207 

.8414 

2.7621 

3.6829 

4.6036 

5.5243 

6.4450 

7.3657 

8.2864 

•3444 

14 

0.9206 

.8411 

2.7617 

3.6822 

4.6028 

5.5234 

6-4439 

7.3645 

8.2850 

•  3442 

15 

0.9204 

.8408 

2.7612 

3.6816 

4.6020 

5.5224 

6.4428 

7-3632 

8.2836 

•3441 

16 

0.9202 

.8405 

2.7607 

3.6810 

4.6012 

5.5215 

6.4417 

7.3620 

8.2822 

•3440 

17 

0.9201 

.8402 

2.7603 

3.6804 

4.6005 

5-5205 

6.4406 

7-3607 

8.2808 

-3439 

18 

0.9199 

•8399 

2.7598 

3-6797 

5.5196 

6-4395 

7.3595 

8.2794 

•3438 

19 

0.9198 

.8^96 

2-7593 

3-6791 

4»  SQ^Q 

5-5187 

6.4385 

7.35»2 

8.2780 

•  3437 

20 

0.9196 

.8392 

2.7589 

3-6785 

4.5981 

5-5177 

6-4374 

7-3570 

8.2766 

.3436 

21 

0.9195 

.8389 

2.7584 

3-6779 

4-5973 

5.5i68 

6.4363 

7-3557 

8.2752 

•  3435 

22 

0.9193 

.8386 

2.7579 

3.6772 

4.5965 

5.5158 

6.4352 

7-3545 

8.2738 

•3433 

23 

0.9192 

-8383 

2.7575 

3-6766 

4.5958 

5-5149 

6.4341 

7-3532 

8.2724 

•3432 

24 

0.9190 
0.9188 

.8380 
.8377 

2.7570 
2.7565 

3-6760 
3-6753 

4-5950 
4-5942 

5.5140 
5.5i3o 

6.4330 
6.4319 

7.3519 

7.3507 

8.2709 
8.2695 

•3431 
•3430 

26 

0.9187 

•8374 

2.7560 

3-6747 

4-5934 

5-5I2I 

6.4307 

7-3494 

8.2681 

•3429 

27 

0.9185 

.8370 

2.7556 

3.6741 

4.5926 

5-5III 

6.4296 

7.34S2 

8.2667 

.3428 

28 

0.9184 

.8367 

2.7551 

3-6735 

4.59i8 

5.5102 

6.4285 

7.3469 

8.2653 

•  3427 

29 

0.9182 

.8364 

2.7546 

3-6728 

4-5910 

5.5092 

6.4274 

7-3456 

8.2639 

•3423 

30 

0.9180 

.8361 

2.7541 

3.6722 

4.5902 

5.5083 

6.4263 

7.3444 

8.2624 

-3424 

31 

0.9179 

.8358 

2.7537 

3.67i6 

4-5894 

5-5073 

6.4252 

7.3431 

8.2610 

•3423 

32 

0.9177 

.8355 

2.7532 

3.6709 

4.5887 

5.5064 

6.4241 

7.34i8 

8.2596 

•  3422 

33 

0.9176 

•8351 

2.7527 

3.6703 

4.5879 

5-5054 

6.4230 

7.3406 

8.2581 

•  3420 

34 

0.9174 

.8348 

2.7522 

3-6696 

4.5871 

5-5045 

6.4219 

7-3393 

8.2567 

.3419 

35 

o.9i73 

•8345 

2.7518 

3.6690 

4.5863 

5-5035 

6.4208 

7.338o 

8.2353 

•3418 

36 

0.9171 

.8342 

2.7513 

3.6684 

4.5855 

5.5026 

6.4197 

7-3368 

8.2339 

•3417 

0.9169 

.8339 

2.7508 

3-6677 

4.5847 

5.5oi6 

6.4186 

7-3355 

8.2524 

.3416 

38 

0.9168 

•8336 

2.7503 

3-6671 

4.5839 

5.5oo7 

6.4174 

7.3342 

8.2510 

•34i5 

39 

0.9166 

.8332 

2-7499 

3-6665 

4.5831 

5-4997 

6.4163 

7.3329 

8.2496 

•3413 

40 

0.9165 

.8329 

2-7494 

3-6658 

4-5823 

5.4988 

6.4152 

7.3317 

8.2481 

•3412 

41 

0.9163 

.8326 

2.7489 

3-6652 

4.58i5 

5.4978 

6.4141 

7.3304 

8.2467 

•  34II 

42 

0.9161 

•8323 

2.7484 

3.6646 

4.5807 

5.4968 

6.4130 

7-3291 

8.2452 

•  3410 

43 

0.9160 

.8320 

2.7479 

3-6639 

4-5799 

5-4959 

6.4118 

7.3278 

8.2438 

•3409 

44 

0.9158 

.8316 

2-7475 

3-6633 

4-5791 

5-4949 

6.4107 

7-3265 

8.2424 

•  3407 

45 

0.9157 

•8313 

2.7470 

3.6626 

4.5783 

5-4939 

6.4096 

7.3253 

8.2409 

.3406 

46 

0.9155 

.8310 

2.7465 

3.6620 

4-5775 

5-4930 

6.4085 

7.3240 

8-2395 

.3405 

47 

0.9153 

.8307 

2.7460 

3-6613 

4.5767 

5.4920 

6.4074 

7-3227 

8.2380 

•3404 

48 

0.9152 

.8304 

2-7455 

3-6607 

4-5759 

5.4911 

6  .  4062 

7-3214 

8.2366 

•3403 

49 

0.9150 

.8300 

2.7450 

3.6601 

4-5751 

5.4901 

6.4051 

7.3201 

8.2351 

•  3402 

5o 

0.9149 

.8297 

2.7446 

3-6594 

4-5743 

5.4891 

6.4040 

7.3i88 

8.2337 

•  3400 

5i 
52 

0.9147 
0.9145 

.8294 

2-7441 
2.7436 

3-6588 
3-6581 

4-5735 
4.5727 

5.4882 
5-4872 

6.4029 
6.4017 

7.3176 
7-3i63 

8.2322 

8.2308 

;3|9jj 

53 

0.9144 

.8287 

2.7431 

3-6573 

4.5719 

5.4862 

6.4006 

7.3i5o 

8.2293 

^3397 

54 

0.9142 

.8284 

2.7426 

3.6568 

4.5710 

5.4853 

6.3995 

7.3137 

8.2279 

.3395 

55 

0.9140 

.8281 

2.7421 

3.6562 

4.5702 

5.4843 

6.39»3 

7-3124 

8.2264 

.3394 

56 

0.9139 

.8278 

2.7417 

3-6555 

5.4833 

6.3972 

7.31" 

8.2250 

•3393 

57 

0.9137 

.8274 

2.7412 

3-6549 

4.5686 

5.4823 

6.3961 

7  .  3098 

8.2235 

•3392 

58 

0.9136 

.8271 

2.7407 

3.6542 

4.5678 

5.48i4 

7.3085 

8.2221 

•  3390 

59 

0.9134 

.8268 

2.7402 

3-6536 

4.5670 

5.4804 

6.3938 

7.3072 

8.2206 

.3389 

60 

0.9132 

.8265 

2.7397 

3-6530 

4.5662 

5-4794 

6.3927 

7.3059 

8.2192 

>33 

HEIGHTS. 


16° 


1 

2 

3 

4 

6 

6 

7 

8 

9 

• 

1 

0.2646 

0.5292 

0.7938 

.0584 

•3230 

.5§75 

1.8521 

2.1167 

2.3813 

0.3859 

oo 

0.2648 

0.5297 

0.7945 

.0594 

.3242 

.5890 

1-8539 

2.1187 

2.3835 

0.3863 

01 

0.2651 

0.5302 

0.7952 

.0603 

•3254 

•  5905 

1.8556 

2.1206 

2.3857 

0.3867 

02 

0.2653 

0.5307 

0.7960 

.0613 

.3266 

.5920 

1.8573 

2.1226 

2.3880 

0.3871 

03 

0.2656 

0.53H 

0.7967 

.0623 

.3279 

•  5934 

1.8590 

2.1246 

2.3902 

0.3875 

04 

0.2658 
0.2661 

0.5316 
0.5321 

0.7975 
0.7982 

•  0633 
.0642 

•3291 
•3303 

•5949 
.5964 

1.8607 
1.8624 

2.1266 
2.1285 

2.3924 
2.3946 

0.3878 
0.3882 

3 

0.2663 

0.5326 

0.7989 

.0652 

•  5979 

1.8642 

2.1305 

2.3968 

0.3886 

o7 

0.2666 

o.533i 

0.7997 

.0662 

'3328 

•5994 

1.8659 

2.1325 

2.3990 

0.3890 

08 

0.2668 

0.5336 

0.8004 

.0672 

•  3340 

.6008 

1.8676 

2.1344 

2.4012 

09 

0.2670 

o.534i 

0.8011 

.0682 

•3352 

.6023 

1.8693 

2.1364 

2.4034 

0.3898 

10 

0.2673 
0.2675 

0.5346 
0-5351 

0.8019 
0.8026 

.0692 
.0702 

•3365 

•  3377 

.6037 
.6052 

1.8710 

1.8728 

2.1383 
2.1403 

2.4056 
2.4078 

0.3902 
0.3906 

ii 

12 

0.2678 

0.5356 

0.8033 

.0711 

.3389 

.6067 

1.8745 

2.1422 

2.4100 

0.3910 

13 

0.2680 

0.5361 

0.8041 

.0721 

•  3401 

.6082 

1.8762 

2.1442 

2.4123 

0.3914 

14 

0.2683 

0.5365 

0.8048 

•  0731 

•3414 

.6096 

1.8779 

2.1462 

2.4145 

15 

0.2685 

o.537o 

0.8056 

.0741 

.3426 

.6111 

1.8796 

2.1482 

2.4167 

0.3921 

16 

0.2688 

0-5375 

0.8063 

.0750 

•  3438 

.6126 

1.8813 

2.1501 

2.4189 

0.3925 

i7 

0.2690 

0.5380 

0.8070 

.0760 

.6141 

1.8831 

2.1521 

2.4211 

0.3929 

18 

0.2693 

0.5385 

0.8078 

.0770 

.3463 

•6i55 

1.8848 

2.1540 

2.4233 

0-3933 

19 

0.2695 

0-5390 

0.8085 

.0780 

•3475 

.6170 

1.8865 

2.1560 

2.4255 

0-3937 

20 

0.2697 

0-5395 

0.8092 

.0790 

.3487 

.6184 

1.8882 

2.IS79 

2.4277 

0.3941 

21 

o  .  2700 

o  .  5400 

0.8100 

.0800 

•3499 

.6199 

1.8899 

2.1599 

2.4288 

0-3945 

22 

0.2702 

0.5405 

0.8107 

.0809 

•35*2 

.6214 

1.8916 

2.1618 

2.4321 

0-3949 

23 

0.2705 

0.5409 

0.8114 

.0819 

•3524 

.6228 

J-8933 

2.1638 

2-4343 

0-3953 

24 

o  .  2707 

0.5414 

0.8122 

.0829 

•3536 

.6243 

1-8950 

2.1658 

2.4365 

0-3957 

0.2710 

0-5419 

0.8129 

.0838 

.3348 

.6258 

1.8967 

2.1677 

2.4387 

0.3960 

26 

0.2712 

0.5424 

0.8136 

.0848 

.3560 

.6273 

1.8985 

2.1697 

2.4409 

0.3964 

27 

0.2715 

0.5429 

0.8144 

.0858 

•3573 

.6287 

1.9002 

2.1716 

2-4431 

0.3968 

28 

0.2717 

0-5434 

0.8151 

.0868 

•3585 

.6302 

1.9019 

2.1736 

2-4453 

0.3972 

29 

0.2719 

0-5439 

0.8158 

.0878 

•3597 

.6316 

1.9036 

2.1755 

2-4475 

0.3976 

30 

0.2722 

0-5444 

0.8165 

.0887 

•  3609 

-6331 

I-9053 

2.1775 

2.4496 

0.3980 

31. 

0.2724 

o.544» 

0.8173 

.0897 

.3621 

-6346 

1.9070 

2.1794 

2.4518 

0.3984 

32 

0.2727 

0-5453 

0.8180 

.0907 

•3634 

.6361 

1.9087 

2.1814 

2.4540 

0.3988 

33 

0.2729 

0.5458 

0.8187 

.0916 

•  3646 

•6375 

1.9104 

2.1833 

2.4562 

0.3992 

34 

0.2732 

0.5463 

0.8195 

.0926 

.3658 

.6390 

1.9121 

2-1853 

2.4584 

0.3996 

0.2734 

0.5468 

0.8202 

.0936 

.3670 

.6404 

1.9138 

2.1872 

2.4606 

0-3999 

36 

0.2736 

0-5473 

0.8209 

.0946 

.3682 

.6418 

2.1891 

2.4628 

0.4003 

37 

0.2739 

0.5478 

0.8216 

•0955 

.3694 

•  6433 

1.9172 

2.1911 

2.4650 

0.4007 

38 

0.2741 

0.5483 

0.8224 

.0965 

•  37o6 

.6448 

1.9189 

2.1930 

2.4672 

o  .  401  i 

39 

0.2744 

0.5487 

0.8231 

•0975 

•3719 

.6462 

1.9206 

2.1950 

2.4693 

0.4015 

40 

0.2746 

0.5492 

0.8238 

.0984 

•3731 

.6477 

1.9223 

2.1969 

2.4715 

0.4019 

4i 

0.2749 

0-5497 

0.8246 

•  0994 

-3743 

.6491 

1.9240 

2.1988 

2.4737 

0.4023 

42 

0.2751 

0.5502 

0.8253 

.1004 

•3755 

.6506 

1-9257 

2.2008 

2-4759 

0.4027 

43 

0.2753 

0.5507 

0.8260 

.1014 

.3767 

.6520 

1.9274 

2.2027 

2.4781 

0.4031 

44 

0.2756 

0.5512 

0.8267 

.1023 

•  3779 

•  6535 

1.9291 

2.2046 

2.4802 

0.4035 

45 

0.2758 

o.55i6 

0.8275 

•1033 

•3791 

.6^49 

1.9308 

2.2066 

2.4824 

0.4039 

46 

0.2761 

0.5521 

0.8282 

.1043 

•  3803 

.6564 

1.9325 

2.2085 

2.4846 

0.4042 

47 

0.2763 

0.5526 

0.8289 

.1052 

.3815 

1-9342 

2.2105 

2.4868 

o  .  4046 

48 

0.2766 

o.553i 

0.8297 

.1062 

3828 

^6593 

1-9359 

2.2124 

2.4890 

0.4050 

49 

0.2768 

0.5536 

0.8304 

.1072 

.3840 

.6607 

1-9375 

2.2143 

2.4911 

0.4054 

50 

0.2770 

o.554i 

0.8311 

.1081 

.38^2 

.6622 

1-9392 

2.2163 

2-4933 

0.4058 

5I 

0.2773 

o!5546 

0.8318 

.1091 

•  3864 

.6637 

1.9409 

2.2182 

2-4955 

0.4062 

52 

0.2775 

0.2778 

o.555o 
0.5555 

0.8326 
0.8333 

.1101 
.1110 

.3876 
.3888 

.6651 
.6666 

1.9426 
1-9443 

2  .  2202 
2.2221 

2-4977 
2.4998 

0.4066 
0.4070 

53 

54 

0.2780 
0.2782 

o.556o 
0.5565 

0.8340 
0.8347 

.1120 
.II3O 

.3900 
•3912 

.6680 
.6695 

1.9460 
1-9477 

2.2240 
2.22^9 

2.5020 
2.5042 

0.4074 
0.4078 

3 

0.2785 

0-5570 

0.8354 

•1139 

-3924 

.6709 

1.9494 

2.2278 

2.5063 

0.4081 

57 

0.2787 

0-5574 

0.8362 

.114'-) 

-3936 

.6723 

I-95IO 

2.2298 

2.5085 

0.4085 

58 

0.2790 

0-5579 

0.8369 

.11^8 

.3948 

.6738 

I-9527 

2.2317 

2.5107 

0.4089 

59 

0.2792 

0.5584 

0.8376 

.1168 

i.396o 

1.6752 

1-9544 

2.2337 

2.5129 

0.4093 

60 

DISTANCES. 


f 

1 

2 

3 

4 

5 

6 

7 

8 

9 

a 

00 

0.9132 

.8265 

2.7397 

3-6530 

4.5662 

•4794 

6.3927 

7.3059 

8.2192 

•  3388 

01 
02 

0.9131 
0.9129 

.8262 
.8258 

2.7392 
2.73*7 

3-6523 
3-6517 

4.5646 

•  4775 

6.3915 

7.3046 
7.3033 

8.2177 
8.2162 

.3387 
.3385 

03 

0.9127 

.8255 

2.7382 

3-65io 

4.5637 

.4765 

6.3892 

7.3020 

8.2147 

.3384 

04 

0.9126 

.8252 

2.7378 

3-6303 

4-5629 

•  4755 

6.3881 

7.3007 

8.2133 

.3383 

05 

0.9124 

.8248 

2.7373 

3-6497 

4.5621 

•  4745 

6.3870 

7.2994 

8.2118 

•  3382 

06 
07 

0.9123 
0.9121 

.8245 
.8242 

2.7368 
2.7363 

3.6490 
3-6484 

4-5613 

4-5605 

.4736 
.4726 

6.3858 
6.3847 

7  '.2968 

8.2103 
8.2089 

.338i 
•3379 

08 

0.9119 

.8239 

2-7358 

3-6477 

4-5597 

•  47i6 

6.3835 

7-2955 

8.2074 

•3378 

09 

10 

0.9118 
0.9116 

.8235 
.8232 

2-7353 
2.7348 

3-6471 
3-6464 

4.55§9 
4.558o 

.4706 
.4696 

6.3824 
6.3812 

7.2942 
7.2929 

8.2059 
8.2045 

-3377 
•3376 

ii 

0.9114 

.8229 

2-7343 

3.6458 

4-5572 

5-4687 

6.3801 

7.2915 

8.2030 

•  3375 

12 

0.9113 

.8226 

2.7338 

3-6451 

4.5564 

5.4677 

6.3789 

7.2902 

8.2015 

•  3373 

13 

0.9111 

.8222 

4-5556 

5-4667 

6.3778 

7.2889 

8.2000 

•  3372 

14 

0.9100 

.8219 

2.7328 

3.6438 

4-5547 

5.4657 

6.3766 

7.2876 

8.1985 

•3371 

g 

0.9108 
0.9106 

.8216 
.8212 

2.7324 
2.7319 

3.6431 
3-6425 

4-5539 
4-5531 

5.4647 
5.4637 

6-3755 
6-3743 

7-2863 
7.2850 

8.1971 
8.1956 

•3370 
•3368 

17 

0.9105 

.8209 

2.73M 

3-6418 

4.5523 

5-4627 

6.3732 

7-2836 

8.1941 

.3367 

18 

0.9103 

.8206 

2.7309 

3-6412 

4.5515 

5-4617 

6.3720 

7-2823 

8.1926 

-3366 

19 

0.9101 

.8203 

2.7304 

3-6405 

4.55o6 

5.4608 

6.3709 

7.2810 

8.IQII 

.3365 

20 

0.9100 

.8199 

2.7299 

3.6398 

4.5498 

5.4598 

6.3697 

7-2797 

8.1897 

•3364 

21 
22 

0.9098 
0.9096 

.8196 
.8193 

2.7294 
2.7289 

3.6392 
3-6385 

4-5490 
4-5482 

5-4588 
5.4578 

6.3686 
6.3674 

7.2784 
7-2770 

8.1882 
8.1867 

.3362 
•336i 

23 

0.9095 

.8189 

2.7284 

3-6379 

4-5473 

5-4568 

6.3662 

7.2757 

8.1852 

.336o 

24 

0.9093 

.8186 

2.7279 

3.6372 

4.5465 

5-4558 

6.3651 

7-2744 

8.1837 

•3359 

11 

0.9091 
0.9000 

.8183 
•  8i79 

2.7274 
2.7269 

3.6365 
3-6359 

4-5457 
4.5448 

5.4548 
5-4538 

6-3639 
6.3628 

7.2731 
7.2717 

8.1822 
8.1807 

•3358 
•  3357 

27 

0.9088 

.8176 

2.7264 

3.6352 

4.5440 

5.4528 

6.3616 

7.2704 

8.1792 

•3355 

28 

0.0086 

•  8i73 

2.7259 

3.6345 

4-5432 

5.45i8 

6.3604 

7.2691 

8.1777 

-3354 

29 

0.9085 

.8169 

2.7254 

3-6339 

4.5423 

5.45o8 

6-3593 

7.2678 

8.1762 

-3353 

30 

0.9083 

.8166 

2.7249 

3.6332 

4-5415 

5.4498 

6.3581 

7.2664 

8.1747 

•3352 

31 

0.9081 

.8163 

2.7244 

3-6325 

4.5407 

5.4488 

6.3570 

7.2651 

8.1732 

•3350 

32 

0.9080 

•8i59 

2.7239 

3-6319 

4.5398 

5.4478 

6-3558 

7.2637 

8.1717 

33 

0.0078 

.8156 

2.7234 

3-6312 

5.4468 

6.3546 

7.2624 

8.1702 

.  3^45 

34 

0.9076 

•  8i53 

2.7229 

3-6305 

4.5382 

5.4458 

6-3534 

7.2611 

8.1687 

'3347 

O.Q075 

.8149 

2.7224 

3.6299 

4-5373 

5.4448 

6-3523 

7.2597 

8.1672 

.3346 

36 

0.9073 

.8146 

2.7219 

3-6292 

4.5365 

5.4438 

6.3511 

7.2584 

8.1657 

•3344 

37 

0.9071 

.8143 

2.7214 

3-6285 

4-5357 

5.4428 

6-3499 

7.2571 

8.1642 

•3343 

38 

0.9070 

.8139 

2.7209 

3.6279 

4.5348 

5.44i8 

6.3488 

7.2557 

8.1627 

•3342 

39 

0.9068 

8136 

2.7204 

3.6272 

4-5340 

5.4408 

6.3476 

7.2544 

8.1612 

•3341 

40 

0.9066 

.8133 

2.7199 

3-6265 

4-5332 

5.4398 

6.3464 

7.2530 

8.1597 

•3339 

4i 

0.9065 

.8129 

2.7194 

3-6258 

4-5323 

5.4388 

6-3452 

7.2517 

8.1581 

•3338 

42 

0.9063 

.8126 

2.7189 

3-6252 

4.5315 

5-4378 

6.3441 

7.2503 

8.1566 

•3337 

43 

0.9061 

.8122 

2.7184 

3-6245 

4.53o6 

5.4367 

6.3429 

7.2490 

8.1551 

•3336 

44 

0.9060 

.8119 

2.7179 

3-6238 

4  •  5298 

5-4357 

6-3417 

7.2476 

8.1536 

•3335 

3 

0.9058 
0.9056 

.8116 
.8112 

2.7174 
2.7169 

3-6231 
3.6225 

4.5289 
4.5281 

5-4347 
5-4337 

6-3405 

7.2463 
7.2449 

8.1521 
8.1506 

.3333 
•3332 

47 

0.9054 

.8109 

2.7163 

3.6218 

4.5272 

6.3381 

7.2436 

8.1490 

•  3331 

48 

0.9053 

.8106 

2.7158 

3.6211 

4.5264 

5*4317 

6-3370 

7.2422 

8.1475 

•  3330 

49 

0.9051 

.8102 

2.7153 

3.6204 

4.5256 

5-4307 

6-3358 

7.2409 

8.1460 

.3329 

50 

0.9049 

.8099 

2.7148 

3-6198 

4-5247 

5-4297 

6.3346 

7.2395 

8.1445 

•3327 

51 

0.9048 

.8095 

2.7143 

3.6191 

4-5239 

5.4286 

6-3334 

7.2382 

8.1430 

.3326 

52 

o  .  9046 

2.7138 

3-6184 

4.5230 

5.4276 

6-3322 

7.2368 

8.1414 

.3325 

53 

0.9044 

8089 

2.7133 

3.6i77 

4.^222 

5.4266 

6.3310 

7.2355 

8.1399 

.3324 

54 

0.9043 

.8085 

2.7128 

3.6171 

4.5213 

5.4256 

6.3298 

7.2341 

8.1384 

.3323 

55 

0.9041 

.8082 

2.7123 

3-6164 

4  5205 

5.4246 

6.3287 

7.2327 

8.1368 

•3321 

56 
57 

0.9039 
0.9038 

.8078 
.8075 

2.7118 
2.7113 

3-6i57 
3-6150 

4.5196 
4.5188 

5.4235 
5.4225 

6.3275 
6.3263 

7.2314 
7.2300 

8.1353 
8.1338 

•  3320 
.3319 

58 

0.9036 

.8072 

2.7107 

3-6143 

4.5I79 

5.4215 

6.3251 

7.2287 

8.1322 

.3318 

0-0034 

.8068 

2.7102 

3.6i37 

4.5I7I 

5-4205 

6.3239 

7.2273 

8.1307 

•33i6 

60 

0.9032 

.8065 

2.7097 

3-6130 

4.5162 

5-4195 

6.3227 

7.2259 

8.1292 

•3315 

HEIGHTS. 


'7° 


1 

2 

3 

4 

5 

6 

7 

8 

9 

b 

r 

0.2792 

0.2794 

0.5584 
0.5589 

0.8376 
0.8383 

.1168 
.1178 

.3960 

1.6752 
1.6767 

•  9544 
.956i 

2.2337 
2.2356 

2.5129 

2.5150 

0.4093 
0.4097 

00 
01 

0.2797 

0-5594 

0.8391 

.1187 

.3984 

.6781 

•  9578 

2.2375 

2.5172 

0.4IOI 

02 

0.2799 

0-5599 

0.8398 

.1197 

•  3996 

.6796 

•9595 

2-2394 

2.5193 

0.4105 

03 

0.2802 

o.  5603 

0.8405 

.1207 

.4008 

.6810 

.9612 

2.2414 

2.5215 

0.4109 

04 

0.2804 

0.5608 

0.8412 

.1216 

.4020 

.6825 

.9629 

2.2433 

2.5237 

0.4II3 

05 

0.2806 

0.5613 

0.8419 

.1226 

.4032 

•  6839 

.9645 

2.2452 

2.5258 

0.4116 

06 

0.2809 

0.5618 

0.8427 

.1236 

•  4044 

.6853 

.9662 

2.2471 

2.5280 

0.4120 

07 

0.28II 

0.5623 

0.8434 

.1245 

.4056 

.6868 

•  9679 

2.2490 

2.5302 

0.4124 

08 

0.28l4 

0.5627 

0.8441 

•  1255 

.4068 

.6882 

.9696 

2.2510 

2.5323 

0.4128 

09 

0.28l6 

0.5632 

0.8448 

.1264 

.4080 

•  6897 

•9713 

2.2529 

2-5345 

0.4132 

10 

0.28l8 
0.2821 

0.5637 
0.5642 

0.8455 
0.8463 

.1274 
.1284 

.4092 
.4104 

.6911 
.6925 

.9729 
.9746 

2.2548 
2.2567 

2.5366 

2.5388 

0.4136 
0.4140 

II 

12 

0.2823 

0.5647 

0.8470 

•  1293 

.4116 

.6940 

.9763 

2.2586 

2.5409 

0.4144 

13 

0.2826 

o.  s65i 

0.8477 

.1303 

.4128 

.6954 

.978o 

2.2606 

2.5431 

0.4148 

14 

0.2828 

0.5656 

0.8484 

.1312 

.4140 

.6969 

•  9797 

2.2625 

2-5453 

0.4I5I 

ij 

0.2830 

o.;66i 

0.8491 

.1322 

.4152 

.6983 

.9813 

2.2644 

2-5474 

0.4155 

16 

0.2833 

0.5666 

0.8499 

•  1332 

.4164 

.6997 

.9830 

2.2663 

2.5496 

0.4159 

17 

0.2835 

0.5670 

0.8506 

•  1341 

.4176 

.7011 

.9847 

2.2682 

2.5517 

0.4163 

18 

0.2838 

0.5675 

0.8513 

•I35I 

.4188 

.7026 

.9863 

2.2701 

2.5539 

0.4167 

19 

0.2840 

0.5680 

0.8520 

.1360 

.4200 

.7040 

.9880 

2.2720 

2.5560 

0.4I7I 

20 

0.2842 

0.5685 

0.8527 

•  1370 

.4212 

.7054 

.9897 

2.2739 

2.5582 

0.4175 

21 

0.2845 

0.5690 

0.8534 

•1379 

.4224 

.7069 

.9914 

2.2758 

2.5603 

0.4179 

22 

0.2847 

0.5694 

0.8542 

•  *389 

.4236 

.7083 

•9930 

2.2778 

2.5625 

0.4183 

23 

0.2850 

0.5699 

0.8549 

.  1398 

.4248 

.7098 

•  9947 

2.2797 

2.5646 

0.4186 

24 

0.2852 

0.5704 

0.85^6 

.1408 

.4260 

.7112 

.9964 

2.2816 

2.5668 

0.4190 

0.2854 

0.5709 

0.8563 

.1417 

.4272 

.7126 

.9980 

2.2835 

2.5689 

0.4194 

26 

0.2857 

o.57i3 

0.8570 

.1427 

.4284 

.7140 

•  9997 

2.2854 

2.5710 

0.4198 

27 

0.2859 

0.5718 

0.8^77 

.1436 

.4296 

.7155 

.0014 

2.2873 

2.5732 

0.4202 

28 

0.2861 

0.5723 

0.8584 

.1446 

•  4307 

.7169 

2.0030 

2.2892 

2.5753 

o  .  4206 

29 

0.2864 

0.5728 

0.8592 

.1456 

•  4319 

•  7183 

2.0047 

2.2911 

2-5775 

0.4210 

30 

0.2866 

0.5732 

0.8599 

.1465 

•  4331 

.7197 

2.0063 

2.2930 

2.5796 

0.4214 

3i 

0.2869 

0-5737 

0.8606 

•  1474 

•4343 

.7212 

2.0080 

2.2940 

2.5818 

0.4217 

32 

0.2871 

0.5742 

0.8613 

.  1484 

•  4355 

.7226 

2.0097 

2.2968 

2.5839 

0.4221 

33 

0.2873 

0-5747 

0.8620 

.1494 

•4367 

.7240 

2.0114 

2.2987 

2.5861 

0.4225 

34 

o  .  2876 

0.5752 

0.8627 

•1503 

•4379 

•7255 

2.0131 

2.3006 

2.5882 

0.4229 

35 

0.2878 

0.5756 

0.8634 

.1512 

•4390 

.7269 

2.0147 

2.3025 

2.5903 

0.4233 

36 

0.2880 

o.576i 

0.8641 

.1522 

.4402 

.7283 

2.0163 

2.3044 

2.5924 

0.4237 

37 

0.2883 

0.5766 

0.8649 

•  1532 

.4414 

.7297 

2.0180 

2.3063 

2.5946 

0.4241 

38 

0.2885 

o.577o 

0.8656 

.1541 

.4426 

.7311 

2.0196 

2.3082 

2.5967 

0.4245 

39 

0.2888 

0-5775 

0.8663 

•1550 

•4438 

.7326 

2.0213 

2.3101 

2.5988 

0.4249 

40 

0.2890 

0.5780 

0.8670 

.1560 

•  445o 

•  7340 

2.0230 

2.3120 

2.6010 

0.4252 

4i 

o  .  2802 

0.5785 

0.8677 

•  1569 

.4462 

•7354 

2  .  0246 

2.3139 

2.6031 

0.4256 

42 

0.2895 

0.2897 

0.5789 
0-5794 

0.8684 
0.8691 

•  1579 

.1588 

•  4474 
.4485 

•  7368 
.7383 

2.0263 
2  .  028o 

2.3158 
2.3177 

2.6052 
2.6074 

0.4260 
0.4264 

43 
44 

0.2899 

0.5799 

0.8698 

.1598 

•4497 

•7397 

2  .  0296 

2.3196 

2.6095 

0.4268 

45 

0.2902 

0.5804 

0.8705 

.1607 

.4509 

•  74II 

2.0313 

2.3215 

2.6116 

0.4272 

46 

0.2904 

0.5808 

0.8713 

.1617 

.4521 

.7425 

2.0329 

2.3233 

2.6138 

0.4276 

47 

0.2907 

0.5813 

0.8720 

.1626 

•4533 

•7439 

2.0345 

2.3252 

2.6159 

0.4280 

48 

0.2909 

0.5818 

0.8727 

.1636 

•  4544 

•7453 

2.0362 

2.3271 

2.6180 

0.4283 

49 

0.2911 

0.5823 

0.8734 

.1645 

•4556 

.7468 

2.0379 

2.3290 

2  .  6202 

0.4287 

50 

0.2914 

0.5827 

0.8741 

.1654 

.4568 

.7482 

2.0395 

2.3309 

2.6223 

0.4291 

5i 

0.2916 

0.5832 

0.8748 

.1664 

.4580 

.7496 

2.0412 

2  .  3328 

2.6244 

0.4295 

52 

0.2918 
0.2921 

0.5837 
0.5841 

0.8755 
0.8762 

•  i673 
•  1683 

•4591 
.4603 

.7510 
.7524 

2.0428 
2.0445 

2.3346 
2.3365 

0.4299 
0.4303 

53 

54 

0.2923 

0.5846 

0.8769 

.1692 

.4615 

•7538 

2.0461 

2.3384 

2.6307 

0.4307 

0.292; 
0.2928 
o  .  2930 

0.5851 
0.5856 
0.5860 

0.8776 
0.8783 
0.8790 

.1702 
.1711 
.1720 

.4627 
•  4639 
.4651 

•  7552 
.7567 
•  7381 

2.0478 
2.0495 
2.05II 

2.3403 
2.3422 
2.3441 

2.6329 
2.6350 
2.6371 

0.43II 

0.4515 
0.4318 

1 

0.2932 
0.2935 

0.5865 
0.5870 

0.8797 
0.8804 

.1730 
•  1739 

.4662 
•  4674 

•7595 
.7609 

2.0527 
2.0544 

2.3460 
2.3478 

2.6392 
2.6413 

0.4322 
0.4326 

g 

I8C 


DISTANCES. 


p 

1 

2, 

a 

4 

6 

6 

7 

8 

9 

a 

oo 

0.9032 

1.8065 

2.7097 

3-6130 

4.5162 

-4195 

•  3227 

7.2259 

8.1292 

33i5 

01 

0.9031 

i.  8061 

2.7092 

3-6123 

4.5154 

.4184 

•  3215 

7.2246 

8.1276 

33H 

02 

0.9029 

1.8058 

2.7087 

3.6116 

4.5I45 

.4174 

•  3203 

7.2232 

8.1261 

•3313 

03 

0.9027 

1.8055 

2.7082 

3.6109 

4.5136 

.4164 

•  3191 

7.2218 

8.1246 

•3311 

04 

0.9026 

1.8051 

2.7077 

3.6102 

4.5128 

•  4153 

•  3179 

7.2205 

8.1230 

•3310 

05 

0.9024 

1.8048 

2.7072 

3-6095 

4.5119 

•  4143 

•  3167 

7.2191 

8.1215 

06 

0.9022 

1.8044 

2.7066 

3-6089 

4.5111 

.4133 

-3I55 

7.2177 

8.1199 

.3308 

07 

0.9020 

1.8041 

2.7061 

3.6082 

4.5102 

•  4123 

-3I43 

7-2163 

8.1184 

•  33o6 

08 

0.9019 

1.8037 

2.7056 

3-6075 

4-5094 

.4112 

•  3131 

7.2150 

8.1168 

.3305 

09 

0.9017 

1.8034 

2.7051 

3.6068 

4-5085 

.4102 

•  3119 

7.2136 

8.1153 

-3304 

10 

0.9015 

1.8031 

2.7046 

3.6061 

4.5076 

.4092 

.3107 

7.2122 

8.1138 

-3302 

11 

0.9014 

1.8027 

2.7041 

3-6054 

4.5068 

.4081 

6-3095 

7.2108 

8.II22 

•  3301 

12 

0.9012 

1.8024 

2.7085 

3.6047 

4.5059 

.4071 

6.3083 

7-2095 

8.1106 

•  3300 

13 

0.9010 

1.8020 

2.7030 

3.6040 

4.5050 

.4061 

6.3071 

7.2081 

8.I09I 

.3298 

14 

0.9008 

1.8017 

2.7025 

3-6033 

4-5042 

.4050 

6-3059 

7.2067 

8.1075 

•  3297 

15 

0.9007 

1.8013 

2.7020 

3.6027 

4.5033 

.4040 

6.3046 

7-2053 

8.1060 

.3296 

16 

0.9005 

1.8010 

2.7015 

3.6020 

4.5025 

.4029 

6.3034 

7.2039 

8.1044 

•  3294 

17 

0.9003 

i.  8006 

2.7010 

3-6013 

4.5016 

.4019 

6.3022 

7.2025 

8.1029 

•  3293 

18 

0.9001 

1.8003 

2.7004 

3.6006 

4.5007 

.4009 

6.3010 

7.2012 

8.1013 

.3292 

19 

0.9000 

1.7999 

2.0999 

3-5999 

4.4999 

6.2998 

7.1998 

8.0998 

20 

0.8998 

1.7996 

2.6994 

3-5992 

4.4990 

.3988 

6.2986 

7.1984 

8.0982 

^3289 

21 

0.8996 

1-7993 

2.6989 

3.5985 

4.4981 

•  3978 

6.2974 

7.1970 

8.0966 

.3288 

22 

0.8995 

1.7989 

2.6984 

3-5978 

4-4973 

.3967 

6.2962 

7.1956 

8.0951 

.3287 

23 

0.8993 

1.7986 

2.6978 

3-5971 

4.4964 

•3957 

6.2949 

7.1942 

8.0935 

.3285 

24 
25 

0.8991 
o.8$9 

1.7982 
1.7979 

-i3 

3.5964 
3-5957 

4-4955 
4.4946 

•3946 
•3936 

6.2937 
6.2925 

7.1928 
7.1914 

8.0919 
8.0004 

.3284 

•  3283 

26 

0.8988 

1-7975 

2.6963 

3-5950 

4-4938 

.3925 

6.2913 

7.1900 

8.0888 

.3281 

27 

0.8986 

1.7972 

2.6957 

3-5943 

4.4929 

•3915 

6.2901 

7.1886 

8.0872 

.3280 

28 

0.8984 

1.7968 

2.6952 

3-5936 

4.4920 

•3904 

6.2888 

7.1873 

8.0857 

29 

0.8982 

1.7965 

2.6947 

3-5929 

4.4912 

.3894 

6.2876 

7.i859 

8.0841 

.3270 

30 

0.8981 

1.7961 

2.6942 

3-5922 

4.4903 

.3884 

6.2864 

7.1845 

8.0825 

[3276 

3i 

0.8979 

1.7958 

2.6937 

3-5915 

4.4894 

.3873 

6.2852 

7.1831 

8.0810 

•  3275 

32 

0.8977 

1-7954 

2.6931 

3.5908 

4.4885 

-3862 

6.2840 

7-1817 

8.0794 

•  3274 

33 

0.8975 

1.7951 

2.6926 

3-5901 

4-4877 

-3852 

6.2827 

7-1803 

8.0778 

.3272 

34 

0.8974 

1.7947 

2.6921 

3-5894 

4.4868 

-3841 

6.2815 

7-1789 

8.0762 

-3271 

0.8972 

1.7944 

2.6915 

3.5887 

4.4859 

-3831 

6.2803 

7-1775 

8.0746 

37 

0.8970 
0.8968 

1.7940 
1.7937 

2.6910 
2.6905 

3.588o 
3.5873 

4.4850 
4.4842 

5-3820 
5.38io 

6.2790 
6.2778 

7.1760 
7-1746 

8.0731 
8.0715 

.3267 

s» 

0.8967 

1.7933 

2.6900 

3-5866 

4.4833 

5-3799 

6.2766 

7.1732 

8.0609 

.3265 

39 

0.8963 

1-7930 

2.6894 

3-5859 

4.4824 

5-3789 

6.2754 

7-1718 

8.0683 

.3264 

40 

0.8963 

1.7926 

2.6889 

3-5852 

4.4815 

5-3778 

6.2741 

7.1704 

8.0667 

•3263 

4i 

0.8961 

1-7923 

2.6884 

3.5845 

4.4806 

5-3768 

6.2729 

7.1690 

8.0651 

.3262 

42 

0.8960 

1.7919 

2.6879 

3  5^3^ 

4.4798 

5-3757 

6.2717 

7.1676 

8.0636 

.3260 

43 

0.8958 

1.7915 

2.6873 

3.5831 

4.4789 

5.3746 

6.2704 

7.1662 

8.0620 

•  3259 

44 

0.8956 

1.7912 

2.6868 

3.5824 

4.4780 

5.3736 

6.2692 

7.1648 

8.0604 

•  3258 

45 

0.8954 

1.7908 

2.6863 

3.5817 

4-4771 

5.3725 

6.2679 

7-1634 

8.0588 

•  3257 

46 

0.8952 

1.7905 

2.6857 

3.5810 

4.4762 

5.3715 

6.2667 

7.1619 

8.0572 

.3255 

47 

0.8951 

1.7901 

2.6852 

3.5803 

4-4753 

5-3704 

6.2655 

7-1605 

8.0556 

•  3254 

48 

0.8949 

1.7898 

2.6847 

3-5796 

4-4744 

5.3693 

6.2642 

7.1591 

8.0540 

.3253 

149 

0.8947 
0.8945 

1.7894 
1-7891 

2.6841 
2.6836 

3.5789 
3.5781 

4-4736 
4-4727 

5.3683 
5.3672 

6.2630 
6.2618 

7-1577 
7.1563 

8.0524 
8.0508 

•  3251 
.3250 

51 

0.8944 

1.7887 

2.6831 

3-5774 

4.47i8 

5.366i 

6.2605 

7-1549 

8.0492 

•3249 

52 

0.8942 

1.7884 

2.6825 

3-5767 

4.4709 

5.3651 

6.2593 

7.1534 

8.0476 

-3247 

53 

0.8940 

1.7880 

2.6820 

3-576o 

4.4700 

5.3640 

6.2580 

7-1520 

8.0460 

-3246 

54 

0.8938 

1.7876 

2.6815 

3-5753 

4.4691 

5-3629 

6.2568 

7.1506 

8.0444 

•3245 

55 

0.8936 

1.7873 

2.6809 

3-5746 

4.4682 

5-36i9 

6.2555 

7-1492 

8.0428 

•3243 

56 

0.8935 

1.7869 

2.6804 

3-5739 

5-3608 

6.2543 

7-1477 

8.0412 

.3242 

li 

0.8933 
0.8931 

1.7866 
1.7862 

2.6799 
2.6793 

3-5732 

IS 

5-3597 

5.3587 

6.2530 
6.2518 

7-1463 
7-1449 

8.0396 
8.0380 

•  3241 
.3239 

59 

0.8929 

1-7859 

2.6788 

3*5717 

4.4647 

5-3576 

6.2505 

7.1435 

8.0363 

•3238 

60 

0.8928 

1.7855 

2.6783 

3-5710 

4-4638 

5-3565 

6.2493 

7.1420 

8.0348 

•  3237 

HEIGHTS. 


18* 


1 

2 

3 

4 

5 

6 

7 

8 

9 

b 

9 

0.2935 

0.5870 

0.8804 

1739 

4674 

1.7609 

2.0544 

2.3478 

2.6413 

0.4326 

00 

0.2937 

0.5874 

0.8811 

1749 

4686 

1.7623 

2.0560 

2-3497 

2.6434 

0.4330 

OI 

0.2940 

0.5879 

0.8819 

1758 

4698 

1.7637 

2.0577 

2.3516 

2.6456 

0-4334 

02 

0.2942 

0.5884 

0.8826 

1768 

4709 

1.7651 

2.0593 

2-3535 

2  6477 

0-4338 

03 

0.2944 

o  5888 

0.8833 

1777 

4721 

1.7665 

2.0609 

2.3554 

2.6498 

0.4342 

04 

0.2947 

0.5893 

0.8840 

1786 

4733 

1.7679 

2.0626 

2-3573 

2.6519 

0.4346 

05 

0.2949 

0.5898 

0.8847 

1796 

1.7693 

2  .  0642 

2-3591 

2.6540 

0-4349 

06 

0.2951 

0.5902 

0.8854 

1805 

4756 

1-7707 

2.0659 

2.3610 

2.6561 

0-4353 

07 

0.2954 
0.2956 

0.5907 
0.5912 

0.8861 
0.8868 

1814 
1824 

4780 

1.7721 
1-7735 

2.0675 
2.0091 

2.3629 
2.3647 

2.6582 
2.6603 

0-4357 
0.4361 

08 
09 

0.2958 

0.5917 

0.8875 

1833 

4791 

1-7750 

2.0708 

2.3666 

2.6624 

0.4365 

10 

0.2961 

0.5921 

0.8882 

1842 

4803 

1.7764 

2.0724 

2.3685 

2.6645 

0.4369 

II 

0.2963 

0.5926 

0.8889 

1852 

4815 

1.7778 

2.0740 

2.3703 

2  .  6666 

0-4373 

12 

0-5931 

0.8896 

1861 

4826 

1.7792 

2.0757 

2.3722 

2.6687 

0-4377 

13 

0.2970 

0-5935 
o.594o 

0.8903 
0.8910 

1870 
1880 

4838 
4850 

1.7806 
1.7820 

2.0773 
2.0790 

2.3741 
2.3760 

2.6708 
2.6729 

0.4380 
0.4384 

14 

15 

0.2972 

0-5945 

0.8917 

1889 

4861 

1.7834 

2.0806 

2.3778 

2.6750 

0.4388 

16 

0.297^ 

0-5949 

0.8924 

1898 

4873 

1.7848 

2.0822 

2.3797 

2.6771 

0.4392 

17 

0.2977 

0.5954 

0.8931 

1908 

4885 

1.7862 

2.0838 

2.3815 

2.6792 

0.4396 

18 

0.2979 

0-5959 

0.8938 

1917 

4896 

1.7876 

2.0855 

2.3834 

2.6813 

0.4400 

19 

0.2982 

0.5963 

0.8945 

1926 

4908 

1.7890 

2.0871 

2.3853 

2.6834 

0.4404 

20 

0.2984 

0.5968 

0.8952 

1936 

4920 

1.7904 

2.0887 

2.3871 

2.6855 

0.4407 

21 

0.2986 

0-5973 

0.8959 

1945 

493i 

1.7918 

2.0904 

2.3890 

2.6876 

0.4411 

22 

0.2989 

0-5977 

0.8966 

•  1954 

4943 

1.7932 

2.0920 

2.3909 

2.6897 

0.4415 

23 

0.2991 

0.5982 

0.8973 

1964 

4955 

1.7946 

2.0936 

2.3927 

2.6918 

0.4419 

24 

0.2993 

0.5987 

0.8980 

1973 

4966 

1.7960 

2.0953 

2.3946 

2-6939 

0.4423 

25 

0.2996 

0.5991 

0.8987 

.1982 

-4978 

1-7974 

2.0969 

2.3965 

2.6960 

0.4427 

26 

0.2998 

0.5996 

0.8994 

.1992 

.4989 

1.7987 

2.0985 

2.3983 

2.6981 

0.4431 

27 

0.3000 

o  .  6000 

0.9001 

2001 

.5001 

1.8001 

2.IOOI 

2.4002 

2  .  7002 

0-4435 

28 

0.3003 

0.6005 

0.9008 

.2010 

•5013 

1.8015 

2.1018 

2  .  4020 

2.7023 

0.4438 

29 

0.3005 

0.6010 

0.9015 

.2020 

.5024 

1.8029 

2.1034 

2.4039 

2.7044 

0.4442 

30 

0-3007 

0.6014 

o  .  9022 

.2029 

.5036 

1.8043 

2.1050 

2.40^8 

2.7065 

0.4446 

3i 

0.3009 

0.6019 

0.9028 

-2038 

•5047 

1.8057 

2.1066 

2.4076 

2.7085 

0.4450 

32 

0.3012 

o  .  6024 

0.9035 

.2047 

•5059 

1.8071 

2.1083 

2.4094 

2.7IO6 

0.4454 

33 

0.3014 

0.6028 

0.9042 

.2056 

1.8085 

2.1099 

2.4H3 

2.7127 

0.4458 

34 

o.3oi6 
0.3019 

0.6033 
0.6038 

0.9049 
0.9056 

.2066 

.2075 

!5o82 
.5094 

1.8099 
1.8113 

2.1115 

2.IH2 

2.4132 
2.4150 

2  7148 
2.7169 

0.4462 
0.4466 

1 

0-3021 

0.6042 

0.9063 

.2084 

.5105 

1.8127 

2.II48 

2.4169 

2.7190 

0.4469 

37 

0.3023 

0.6047 

0.9070 

.2094 

.5117 

1.8140 

2.II64 

2.4187 

2.72II 

0-4473 

38 

0.3028 

0.6051 
0.6056 

0.9077 

0.9084 

.2103 

.2112 

.5128 
.5140 

1.8154 
i.  8168 

2.1180 
2.1196 

2.4206 
2.4224 

2.7231 
2.7252 

0.4477 
0.4481 

39 
40 

0.3030 

0.6061 

0.9091 

.2121 

.5152 

1.8182 

2.I2I2 

2.4242 

2.7273 

0.4485 

4i 

0.3033 

0.6065 

0.9098 

.2130 

1.8196 

2.1228 

2.4261 

2.7294 

0.4489 

42 

0.3035 

0.6070 

0.9105 

.2140 

^5175 

1.8210 

2.1245 

2.4280 

2.7315 

0-4493 

43 

0.3037 

0.6074 

0.9112 

.2149 

.5186 

1.8223 

2.126l 

2.4298 

2.7335 

0.4496 

44 

0.3040 

0.6079 

0.9119 

.2158 

.5198 

1.8237 

2.1277 

2.4316 

2.7356 

0.4500 

45 

0.3042 

0.6084 

0.9125 

.2167 

.5209 

1.8251 

2.1293 

2.4334 

2.7376 

0.4504 

46 

0.3044 

0.6088 

0.9132 

.2176 

.5221 

1.8265 

2.1309 

2-4353 

2.7397 

0.4508 

47 

0.3046 

0.6093 

0.9139 

.2186 

.5232 

1.8279 

2.1325 

2.4372 

2.7418 

0.4512 

48 

0.3049 

0.6098 

0.9146 

.2195 

.5244 

1.8293 

2.1341 

2.4390 

2.7439 

0.4516 

49 

0.3051 

0.6102 

0.9153 

.2204 

.5255 

1.8306 

2.1357 

2.4408 

2.7459 

0.4520 

0-3053 

0.6107 

0.9160 

.2214 

.5267 

i  8320 

2.1374 

2.4427 

2.7480 

0.4524 

5i 

•  0.3056 

0.6111 

0.9167 

.2223 

.5278 

1-8334 

2.1390 

2.4446 

2.7501 

0.4527 

52 

0.3058 

0.6116 

0.9174 

-2232 

.5290 

1.8348 

2.1406 

2.4464 

2.7521 

o.453i 

53 

0.3060 

0.6120 

0.9181 

.2241 

-5301 

1.8361 

2.1422 

2.4482 

2.7542 

0-4535 

54 

0.3063 

0.6125 

0.9188 

.2250 

•5313 

1.8375 

2.1438 

2.4500 

2.7563 

0-4539 

55 

0.3065 

0.6130 

0.9194 

.2259 

•5324 

1-8389 

2.1454 

2.4518 

2.7583 

0.4543 

56 

.  0.3067 

0-6134 

0.9201 

2268 

•5336 

1.8403 

2.1470 

2.4537 

2.7604 

0-4547 

57 

0.3069 

0.6139 

0.9208 

'.2278 

•  5347 

1.8416 

2.1486 

2.4555 

2.7625 

o.455i 

58 

'  0.3072 

0.6143 

0.9215 

1.2287 

-5358 

1.8430 

2.1502 

2.4574 

2  .  7645 

0-4555 

59 

0.3074 

0.6148 

0.9222 

1.2296 

•  5370 

1.8444 

2.1518 

2.4592 

2.7666 

0-4558 

60 

19' 


DISTANCES. 


F 

i 

2 

3 

4 

5 

6 

7 

8 

9 

a 

00 

0.8928 

.7855 

2.6783 

3-5710 

4-4638 

5.3565 

6.2493 

7.1420 

8.0348 

•  3237 

01 

0.8926 

.7851 

2.6777 

3-5703 

4.4629 

5-3554 

6.2480 

7.1406 

8.0332 

•  3236 

02 

0.8924 

.7848 

2.6772 

3.5696 

4.4620 

5-3544 

6.2468 

7-1392 

8.0316 

•3234 

03 

0.8922 

.7844 

2.6766 

3  5689 

4.4611 

5-3533 

6.2455 

7.1377 

8.0299 

•3233 

04 

0.8920 

.7841 

2.6761 

3.5681 

4.4602 

5-3522 

6.2443 

7-1363 

8.0283 

•3232 

05 

0.8919 

.7837 

2.6756 

3-5674 

4-4593 

5-35II 

6.2430 

7-1349 

8.0267 

•  3230 

06 

0.8917 

.7834 

2.6750 

3.5667 

4.4584 

5-3501 

6.2417 

7-1334 

8.0251 

•3229 

C7 

0.8915 

.7830 

2.6745 

3.5660 

4-4575 

5-3490 

6.2405 

7.1320 

8.0235 

.3228 

08 

0.8913 

.7826 

2.6740 

3.5633 

4-4566 

5-3479 

6.2392 

7.  1305 

8.0219 

.3226 

09 

0.8911 

.7823 

2.6734 

3.5646 

4-4557 

5.3468 

6.2380 

7.1291 

8.0203 

•  3225 

10 

0.8910 

.7819 

2.6729 

3.5638 

4.4548 

5.3458 

6.2367 

7.1277 

8.0186 

.3224 

ii 

0.8908 

.7816 

2.6723 

3-5631 

4-4539 

5-3447 

6.2354 

7.1262 

8.0170 

.3222 

12 

0.8906 

.7812 

2.6718 

3-5624 

4-4530 

5.3436 

6.2342 

7.1248 

8.0154 

.3221 

13 

0.8904 

.7808 

2.6712 

3.56i7 

4.4521 

5.3425 

6.2329 

7.1233 

8.0137 

.3220 

14 

0.8902 

.7805 

2.6707 

3-5609 

4-4512 

5.34I4 

6.2316 

7.1219 

8.0121 

.3218 

15 

0.8901 

.7801 

2.6702 

3.5602 

4.4503 

5-3403 

6.2304 

7.1204 

8.0105 

•  3217 

16 

0.8899 

•  7797 

2.6696 

3-5595 

4-4494 

6.2291 

7.1190 

8.0089 

-3215 

17 

0.8897 

•  7794 

2.6691 

3.5588 

4.4485 

5  .  3382 

6.2279 

7.H75 

8.0072 

.3214 

18 

0.8895 

•  7790 

2.6685 

3.558o 

4-4476 

5-3371 

6.2266 

7.1161 

8.0056 

.3213 

19 

0.8893 

•  7787 

2.6680 

3-5573 

4.4467 

5-3390 

6.2253 

7.1146 

8.0040 

.3211 

20 

0.8892 

.7783 

2.6675 

3-5566 

4-4458 

5-3349 

6.2241 

7.1132 

8.0024 

.3210 

21 

0.8890 

•  7779 

2.6669 

3-5559 

4.4448 

5.3338 

6.2228 

7.1117 

8.0007 

.3209 

22 

0.8888 

.7776 

2.6664 

3-5551 

4-4439 

5-3327 

6.2215 

7.1103 

7-9991 

23 

0.8886 

•  7772 

2.6658 

3-5544 

4.4430 

5.3316 

6.2202 

7.1088 

7-9974 

.3206 

24 

0.8884 

•  7768 

2.6653 

3-5537 

4.4421 

5.3305 

6.2190 

7-1074 

7-9958 

-3205 

25 

0.8882 

.7765 

2.6647 

3-5530 

4-4412 

5.3294 

6.2177 

7-1059 

7.9942 

-3203 

26 

0.8881 

.776i 

2.6642 

3-5522 

4.4403 

5-3283 

6.2164 

7.1045 

7.9925 

.3202 

27 

0.8879 

•  7758 

2.6636 

3.5515 

4-4394 

5.3273 

6.2I5I 

7-1030 

7-9909 

.3201 

28 

0.8877 

•  7754 

2.6631 

3.55o8 

4.4385 

5-3262 

6.2139 

7.1015 

7.9892 

-3199 

29 

0.8875 

.7750 

2.6625 

3-5500 

4-4376 

5.3251 

6.2126 

7.1001 

7.9876 

.3198 

30 

0.8873 

•  7747 

2.6620 

3-5493 

4.4366 

5.3240 

6.2II3 

7.0986 

7.9860 

•3197 

31 

0.8871 

•  7743 

2.6614 

3.5486 

4-4357 

5-3229 

6.2100 

7.0972 

7.9843 

-3195 

32 

0.8870 

•7739 

2.6609 

3.5478 

4.4348 

5.3218 

6.2087 

7-0957 

7.9827 

•  3194 

33 

0.8868 

.7736 

2.6603 

3-5471 

4-4339 

5.3207 

6.2075 

7.0942 

7.9810 

-3I93 

34 

0.8866 

•  7732 

2.6598 

4-4330 

5.3196 

6.2062 

7.0928 

7-9794 

•  3191 

35 

0.8864 

.7728 

2.6592 

3-5456 

4-4321 

5.3185 

6.2049 

7.0913 

7-9777 

.3190 

36 

0.8862 

•7725 

2.6587 

3-5449 

4-43H 

5.3174 

6.2036 

7.0898 

7.976i 

-3189 

0.8860 

.7721 

2.6581 

3-5442 

4-4302 

5.3i63 

6.2023 

7  .  0884 

7-9744 

-3187 

38 

0.8859 

.7717 

2.6576 

3-5434 

4-4293 

5.3152 

6.2bio 

7.0869 

7-9727 

-3186 

39 

0.8857 

.7714 

2.6570 

3-5427 

4.4284 

6.1997 

7-0854 

7-97II 

.3185 

40 

0.8855 

.7710 

2.6565 

3.5420 

4.4275 

5.3i3o 

6.1985 

7.0840 

7.9694 

•3183 

4i 

0.8853 

.7706 

2-6559 

3-5412 

4.4265 

5.3H9 

6.1972 

7.0825 

7.9678 

.3182 

42 
43 

0.8851 
0.8849 

.7702 
.7699 

2.6554 
2.6548 

3-5405 
3.5398 

4.4256 
4.4247 

5.3io7 

6.1959 
6.1946 

7.0810 
7.0795 

7.9661 
7.9645 

.3181 
.3179 

44 

0.8848 

.7695 

2.6543 

3.5390 

4.4238 

5  .  3085 

6.1933 

7.0780 

7.9628 

.3178 

45 

0.8846 

.7691 

2.6537 

3.5383 

4.4229 

5-3074 

6.1920 

7.0766 

7.9611 

.3177 

46 

0.8844 

.7688 

2.6532 

3-5375 

4.4219 

5-3o63 

6.1907 

7.0751 

7-9595 

•  3175 

47 

0.8842 

.7684 

2.6526 

3-5368 

4.4210 

5-3052 

6.1894 

7.0736 

7-9578 

.3174 

48 

0.8840 

.7680 

2.6520 

3.536i 

4.4201 

5-3041 

6.1881 

7.0721 

7.956i 

.3173 

49 

0.8838 

.7677 

2.6515 

3-5353 

4.4192 

5-3030 

6.1868 

7.0706 

7.9545 

.3171 

50 

0.8836 

.7673 

2.6509 

3.5346 

4.4182 

5-3019 

6.1855 

7.0692 

7.9528 

.3170 

5l 

0.8835 

.7669 

2.6504 

3-5338 

4.4173 

5.3oo8 

6.1842 

7.0677 

7.9511 

.7169 

52 

0.8833 

•  7665 

2.6498 

3-5331 

4.4164 

6.1829 

7.0662 

7.9495 

.3167 

53 

0.8831 

.7662 

2.6493 

3.5324 

4.4154 

5.2985 

6.1816 

7.0647 

7.9478 

.3166 

54 

0.8829 

.76^8 

2.6487 

4.4145 

5-2974 

6.1803 

7.0632 

7.946i 

•  3165 

55 

0.8827 

-7654 

2.6481 

3.5309 

4.4136 

5-2963 

6.1790 

7.0617 

7-9444 

•  3163 

56 

0.8825 

.7651 

2.6476 

3-5301 

4.4127 

5-2952 

6.1777 

7.0602 

7.9428 

.3162 

57 

0.8823 

.7647 

2.6470 

3-5294 

4-4117 

5-2941 

6.1764 

7.0588 

7.94" 

.3160 

58 

0.8822 

.7643 

2-6465 

3-52$ 

4.4108 

5.2929 

6.1751 

7-0573 

7-9394 

.3159 

£ 

0.8820 
0.8818 

.7639 
.7636 

2.6459 
2.6454 

3.5279 
3.5271 

4.4099 
4.4089 

5.2918 
5.2907 

6.1738 
6.1725 

7.0558 
7-0543 

7-9377 
7.9361 

.3158 
.3156 

HEIGHTS. 


1 

2, 

3 

4 

5 

6 

7 

8 

9 

b 

r 

0-3074 

0.6148 

0.9222 

.2296 

•5370 

.8444 

2.1518 

2.4592 

2.7666 

0.4558 

oo 

0.3076 

0.6153 

0.9229 

•  2305 

.8458 

2.1534 

2.4610 

2.7687 

0.4562 

01 

0.3079 

0.6157 

0.9236 

.2314 

•5393 

•  8472 

2.  155O 

2.4629 

2.7707 

0.4566 

02 

0.3081 

0.6162 

0.9243 

.2324 

.5404 

.8485 

2.1566 

2.4647 

2.7728 

o.457o 

03 

0.3083 

0.6166 

0.9249 

•2333 

.5416 

.8499 

2.1582 

2.4665 

2.7748 

0-4573 

04 

0.3085 

0.6171 

0.9256 

.2342 

.5427 

.8512 

2.1598 

2.4683 

2.7769 

0-4577 

05 

0.3088 

0.6175 

0.9263 

•  2351 

•  5439 

.8526 

2.l6l4 

2.4702 

2.7789 

0.4581 

06 

0.3090 

0.6180 

0.9270 

.2360 

•5450 

.8540 

2.1630 

2.4720 

2.7810 

0.4585 

07 

0.3092 

0.6185 

0.9277 

.2369 

.5461 

•  8554 

2.1646 

2-4738 

2.7831 

0.4589 

08 

0.3095 

0.6189 

0.9284 

.2378 

•  5473 

.8568 

2.1662 

2.4757 

2.7851 

0.4593 

09 

0.3097 

0.6194 

0.9290 

.2387 

.5484 

.8581 

2.1678 

2.4775 

2.7871 

0.4596 

10 

0.3099 

0.6198 

0.9297 

•  2396 

•5495 

•  8595 

2.1694 

2-4793 

2.7892 

0.4600 

II 

0.3101 

0.6203 

0.9304 

.2406 

•  5507 

.8608 

2.I7IO 

2.4811 

2.7913 

0.4604 

12 

0.3104 

o  .  6207 

0.9311 

.2415 

•  55i8 

.8622 

2.1726 

2.4830 

2.7933 

0.4608 

13 

0.3106 

0.6212 

0.9318 

.2424 

•5530 

.8636 

2.1742 

2.4848 

2.7953 

0.4612 

14 

0.3108 

0.6216 

0.9325 

•2433 

•  5541 

.8649 

2.1758 

2.4866 

2.7974 

0.4616 

15 

0.3110 

0.6221 

.2442 

•  5552 

.8663 

2.1773 

2.4884 

2.7994 

0.4619 

16 

0.3H3 

0.6226 

0^9338 

.2451 

•  5564 

•  8677 

2.1789 

2.4902 

2.8015 

0.4623 

17 

o.3ii5 

0.6230 

0-9345 

.2460 

•  5575 

.8690 

2.1805 

2.4920 

2.8035 

0.4627 

18 

0.3117 

0.6235 

0.9352 

.2469 

•5587 

.8704 

2.I82I 

2.4938 

2.8056 

0.4631 

19 

0.3120 

0.6239 

0-9359 

.2478 

.5598 

.8718 

2.1837 

2-4957 

2.8076 

0.4635 

20 

0.3122 

0.6244 

0.9365 

.2487 

.5609 

.8731 

2.1853 

2.4975 

2.8096 

0.4639 

21 

0.3124 

0.6248 

0.9372 

.2496 

.5620 

.8745 

2.1869 

2-4993 

2.8117 

0.4642 

22 

0.3126 

0.6253 

0-9379 

.2505 

•5632 

.8758 

2.1885 

2.5011 

2.8137 

0.4646 

23 

0.3129 
0.3131 

0.6257 
0.6262 

0.9386 
0-9393 

.2514 
.2524 

•  5643 

.8772 
.8785 

2.1900 
2.I9I6 

2.5029 
2.5047 

2.8157 
2.8178 

0.4650 
0.4654 

24 

25 

c.3133 

0.6266 

0.9399 

•  2V33 

.5666 

.8799 

2.1932 

2.5065 

2.8198 

0.4658 

26 

0.3135 

0.6271 

o  .  9406 

.2542 

.5677 

.8812 

2.1948 

2.5083 

2.8219 

0.4662 

27 

0.3138 

0.6275 

0.9413 

•  2551 

.5688 

.8826 

2.1964 

2.5101 

2.8239 

0.4665 

28 

0.3140 

o  .  6280 

0.9420 

.2560 

.5700 

.8839 

2.1979 

2.5119 

2.8259 

0.4669 

29 

0.3142 

0.6284 

0.9427 

.2569 

.5711 

.8853 

2.1995 

2.5138 

2.8280 

0.4673 

30 

0.3144 

0.6289 

0-9433 

.2578 

•  5722 

.8867 

2.2011 

2.5156 

2.8300 

0.4677 

31 

0.3147 

0.629^ 

0.9440 

.2587 

•5734 

.8880 

2  .  2027 

2.5174 

2.8320 

0.4681 

32 

0.3149 
0.3151 

0.6298 
0.6302 

0.9447 
0-9454 

.2596 
.2605 

•5745 
•5756 

.8894 
.8907 

2^2058 

2.5192 
2.5210 

2.8341 
2.8361 

0.4685 
0.4689 

33 
34 

0.3153 
0.3156 

0.6307 

0.6311 

0.9460 
0.0467 

.2614 

.2623 

.5767 
•5779 

.8921 
.8934 

2.2074 
2  .  2090 

2.5228 
2.5246 

2.8381 
2.8401 

0.4692 
0.4696 

I 

0.3158 

0.6316 

0.9474 

.2632 

•5790 

.8948 

2.  2I06 

2.5264 

2.8422 

0.4700 

37 

0.3160 

o  .  6320 

0.9481 

.2641 

•  5801 

.8961 

2.2122 

2.5282 

2.8442 

0.4704 

38 

0.3162 

0.6325 

0.9487 

.2650 

.5812 

•  8975 

2.2137 

2.5300 

2.8462 

0.4708 

39 

0.3165 

0.6329 

0.9494 

•2619 

.5824 

.8988 

2.2153 

2.5318 

2.8482 

0.4712 

40 

0.3167 

0.6334 

0.9501 

.2668 

•5835 

.9002 

2.2160 

2.5336 

2.8503 

o.47i5 

4i 

0.3169 

o  .  633^ 

0.9508 

.2677 

.5846 

.901; 

2.2184 

2-5354 

2.8523 

0.4719 

42 

0.3171 

0.6343 

0.9514 

.2686 

.5857 

.9029 

2.2200 

2.5372 

2.8543 

0.4723 

43 

0.3174 

0.6347 

0.9521 

.2695 

.5868 

.9042 

2.  22l6 

2.5390 

2.8563 

0.4727 

44 

0.3170 
0.3178 
0.3180 

0.6352 

0.6356 
0.6361 

0.9528 
0-9535 
0.9541 

.2704 
•  2713 
.2722 

.5880 
.5891 
•5902 

•9055 
.9069 
.9082 

2.2231 

2.2247 
2.2263 

2.5407 
2-5425 
2-5443 

2.8583 
2.8604 
2.8624 

o.473i 
0-4735 
0.4739 

§ 

47 

0.3183 

0.6365 

0.9548 

•  2731 

•5913 

.9096 

2.2279 

2.5461 

2.8644 

0.4742 

48 

0.3185 

0.6370 

0-9555 

.2740 

.5924 

.9109 

2.2294 

2-5479 

2.8664 

0.4746 

49 

0.3187 

0.6374 

0.9561 

.2748 

•5936 

•9123 

2.2310 

2-5497 

2.8684 

0.4750 

5o 

0.3189 

0.6379 

0.9568 

•  2757 

•  5947 

.9136 

2.2326 

2.5515 

2.8704 

0.4754 

5I 

0.3192 

0.6383 

0-9575 

.2766 

•5958 

•9150 

2.2341 

2-5533 

2.8724 

0.4758 

52 

0.3194 

0.6388 

0.9581 

•  2775 

•  9163 

2.2357 

2.5551 

2.8744 

0.4761 

53 

0.3196 

0.6392 

0.9588 

.2784 

.'5980 

.9177 

2.2373 

2.5569 

2.8765 

0.4765 

54 

0.3198 

0.6397 

0-9595 

•2793 

-5991 

.9190 

2.2388 

2.5586 

2.8785 

0.4769 

55 

0.3201 

0.6401 

0.9602 

.2802 

.6003 

.9203 

2.2404 

2  .  5604 

2.8805 

0-4773 

56 

0.3203 

0.6405 

o  .  96o-S 

.2811 

.6014 

.9216 

2.2419 

2  .  5622 

2.8825 

0.4777 

57 

0.3205 

0.6410 

0.9615 

.2820 

.6025 

.9230 

2.2435 

2.5640 

2.8845 

0.4781 

58 

0.3207 

0.6414 

0.9622 

.2829 

.6036 

•9243 

2.2450 

2.5658 

2.8865 

0.4784 

59 

0.3209 

0.6419 

0.9628 

.2838 

.6047 

.9257 

2.2465 

2.5675 

2.8885 

0.4788 

60 

THIS  BOOK  IS  DUE  ON  THE  LAST  DATE 
STAMPED  BELOW 


AN  INITIAL  FINE  OF  25  CENTS 

WILL  BE  ASSESSED  FOR  FAILURE  TO  RETURN 
THIS  BOOK  ON  THE  DATE  DUE.  THE  PENALTY 
WILL  INCREASE  TO  SO  CENTS  ON  THE  FOURTH 
DAY  AND  TO  $1.OO  ON  THE  SEVENTH  DAY 
OVERDUE. 


MAY  Jl  l^b 

r*rn   ••  O     1Q^fi 

FEB  13   HMO 

LD  21-100m-8,'34 

vb    i i 000 


Y  / 


